math assignment 3 class 9

CBSE NCERT Solutions

NCERT and CBSE Solutions for free

Class 9 Mathematics Assignments

We have provided below free printable Class 9 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 9 Mathematics . These Assignments for Grade 9 Mathematics cover all important topics which can come in your standard 9 tests and examinations. Free printable Assignments for CBSE Class 9 Mathematics , school and class assignments, and practice test papers have been designed by our highly experienced class 9 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Class 9 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 9. Students can click on the links below and download all Pdf Assignments for Mathematics class 9 for free. All latest Kendriya Vidyalaya Class 9 Mathematics Assignments with Answers and test papers are given below.

Mathematics Class 9 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 9 Mathematics . Students and teachers can download and save all free Mathematics assignments in Pdf for grade 9th. Our expert faculty have covered Class 9 important questions and answers for Mathematics as per the latest syllabus for the current academic year. All test papers and question banks for Class 9 Mathematics and CBSE Assignments for Mathematics Class 9 will be really helpful for standard 9th students to prepare for the class tests and school examinations. Class 9th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 9 Mathematics Download in Pdf

More Assignments for Class 9 Mathematics

Advantages of Class 9 Mathematics Assignments

• As we have the best and largest collection of Mathematics assignments for Grade 9, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics textbooks for Class 9 .
• All Mathematics assignments for Class 9 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 9 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics chapter wise worksheets and assignments for free in Pdf
• Class 9 Mathematics question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 9 Mathematics students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Class 9 which you can download in Pdf

We provide here Standard 9 Mathematics chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics in Grade 9, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Grade 9 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 9 for all subjects. You can download them all and use them offline without the internet.

Related Posts

Class 9 Mathematics Areas of Parallelogram and Triangle Assignments

Class 9 Mathematics Euclids Geometry Assignments

Class 9 Mathematics Quadrilateral Assignments

Download Sample Questions and Assignments for Class 9 Mathematics and Science with important Topic- Wise Questions. These Sample Questions and Assignments have been prepared as per the syllabus issued by CBSE, KVS and topics given in NCERT Book. Solving this Sample questions and Assignments will help in scoring in more marks in your class tests and school examinations.

Click on links below for Assignments with important questions for Class 9 Mathematics and Science chapter wise.

Assignment For Class 9th Mathematics Topic -wise- PDF Download

Chapter 1: number system.

Assignment of Mathematics Chapter 1 Number System Assignment

Chapter 2: Polynomials

Assignment of Mathematics Chapter 2 Polynomials Assignment 1

Assignment of Mathematics Chapter 2 Polynomials Assignment 2

Chapter 3: Linear Equation in Two Variables

Assignment of Mathematics Chapter 3 Linear Equation in Two Variables Assignment

Chapter 4: Coordinate Geometry

Assignment of Mathematics Chapter 4 Coordinate Geometry Assignment

Assignment For Class 9th Biology Topic -wise- PDF Download

Chapter 1: the fundamental unit of life: cell.

Assignment of Biology Chapter 1 The Fundamental Unit of Life: Cell Assignment 1

Assignment of Biology Chapter 1 The Fundamental Unit of Life: Cell  Assignment 2

Assignment of Biology Chapter 1 The Fundamental Unit of Life: Cell  Assignment 3

Assignment of Biology Chapter 1 The Fundamental Unit of life: Cell  Assignment

Chapter 2: Tissue

Assignment of Biology Chapter 2   Tissue  Assignment 1

Assignment of Biology Chapter 2 Tissue  Assignment 2

Assignment of Biology Chapter 2 Tissue Assignment 3

Assignment of Biology Chapter 2 Tissue  Assignment 4

Assignment For Class 9th Chemistry Topic -wise- PDF Download

Chapter 1: matter in our surrounding.

Assignment of Chemistry Chapter 1 Matter In Our Surrounding Assignment 1

Assignment of Chemistry Chapter 1 Matter In Our Surrounding Assignment 2

Assignment of Chemistry Chapter 1 Matter In Our Surrounding Assignment 3

         2. Is Matter Around Us Pure

Assignment of Chemistry Chapter 2  Is Matter Around Us Pure  Assignment 1

Assignment of Chemistry Chapter 2 Is Matter Around Us Pure  Assignment 2

Assignment of Chemistry Chapter 2 Is Matter Around Us Pure  Assignment 3

Assignment For Class 9th Physics Topic -wise- PDF Download

Chapter 1: motion.

Assignment of Physics Chapter 1 Motion Assignment 1

Sample Question for Physics Motion Assignment 2

Assignment of Physics Chapter 1 Motion Assignment 3

Assignment of Physics Chapter 1 Motion Assignment 4

Assignment of Physics Chapter 1 Motion Assignment 5

Chapter 2: Force and Laws Of Motion

Assignment of Physics Chapter 2 Force and Laws Of Motion Assignment 1

Assignment Class 8 Science

Assignment Class 9 Science

Assignment Class 10 Science

Assignment Class 11 Physics

Assignment Class 11 Chemistry

Assignment Class 11 Biology

Assignment Class 12 Physics

Assignment Class 12 Chemistry

Assignment Class 12 Biology

Mathematics Assignments

Assignment Class 8 Math

Assignment Class 9 Math

Assignment Class 10 Math

Assignment Class 11 Math

Assignment Class 12 Math

Sample Papers

Sample Paper Class 8 Science

Sample Paper Class 9 Science

Sample Paper Class 10 Science

Sample Paper Class 8 Math

Sample Paper Class 9 Math

Sample Paper Class 10 Math

Sample Paper Class 11 Physics

Sample Paper Class 11 Chemistry

Sample Paper Class 11 Biology

Sample Paper Class 11 Mathematics

Sample Paper Class 12 Physics

Sample Paper Class 12 Chemistry

Sample Paper Class 12 Biology

Sample Paper Class 12 Mathematics

Mobile Number*

Class* —Please choose an option— VIII IX X XI (Science/Commerce) XII (Science/Commerce) XII Pass

Goal* IIT JEE Mains IIT JEE Advanced NEET (UG) NEET (UG) Crash Course CUET (UG) XI CBSE Exam XII CBSE Boards Foundation (IX/X)

Contact Info

H-81, South Extension Part 1, New Delhi - 110049

Phone: 011-41659551

Mobile: +91-9312712114

Email: [email protected]

Web: Prerna Education

Recent Posts

• CBSE Results Class X and XII 2024 Out ! A Celebration of Resilience and New Beginnings
• JEE Mains 2024 : Counselling Process Guide
• NEET 2024 Counselling Process

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Class 9 Maths Chapter 3 for CBSE Board Class 9 Maths Exercise 3.1 in English Class 9 Maths Exercise 3.2 in English

Class 9 Maths Chapter 3 for State Boards Class 9 Maths Chapter 3 Exercise 3.1 Class 9 Maths Chapter 3 Exercise 3.2 Class 9 Maths Chapter 3 Exercise 3.3

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry in Hindi and English Medium modified and updated for new academic session 2024-25 based on latest Curriculum. All educational resources on Tiwari Academy are available for free. This is advantageous for students who not have access to paid educational materials or prefer to save on expenses. Question-answers and solutions are prepared according to new NCERT books for class 9 issued for 2024-25 exams.

Being an online platform, our materials are usually accessible 24/7, allowing students to study at their own pace and convenience. Our solutions can serve as a useful revision tool for students preparing for exams. They can quickly review key concepts and problem-solving techniques. Class 9 Maths Chapter 3 in Hindi Medium Class 9 Maths Exercise 3.1 in Hindi Class 9 Maths Exercise 3.2 in Hindi

Class 9 Maths Chapter 3 Study Material

• 9th Maths Study Material for 2024-25 – English Medium
• 9th Maths Study Material for 2024-25 – Hindi Medium
• Class 9 Mathematics Solutions Page
• Class 9 all Subjects Solutions

UP Board students can get the UP Board Solutions for Class 9 Maths Chapter 3 from here. They can download Exercise 3.1 and Exercise 3.2 in English Medium or Prashnavali 3.1 and Prashnavali 3.2 in Hindi Medium PDF format free. View all exercises in Video Format for the students of CBSE and UP Board following the new NCERT (https://ncert.nic.in/) Books 2024-25 for their final exams in 2024-25. All the questions are described using simple and easy steps so that students can understand all the sums of 9th Maths Chapter 3. If someone is facing any problem to use these solutions, please contact us for help. Download Class 9 Maths App for CBSE and UP Board for Offline use or Download Kaksha 9 Ganit App for offline use.

All the solutions are re-prepared removing the error are simplifying the steps of solving including the formula on each step for the simplification. NCERT Solutions 2024-25 are up to date according to the new CBSE curriculum for 2024-25.

Important Questions on 9th Maths Chapter 3

In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie.

(–2, 4): Second Quadrant (3, –1): Fourth Quadrant (–1, 0): x–axis (1, 2): First Quadrant (–3, –5): Third Quadrant

How can we locate the position of an object?

• To locate the position of an object or a point in a plane, we require two perpendicular lines. One of them is horizontal, and the other is vertical.

What is the coordinates of origin?

• The coordinates of the origin are (0, 0).

What is the coordinates of a point on x-axis or on y-axis?

• The coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis are (0, y).

What are quadrants?

• The coordinate axes divide the plane into four parts called quadrants.

NCERT Solutions for Class 9 Maths Chapter 3 all exercises and Prashnavali are given to download free for new academic session 2024-25. You can view these solutions in Video Format also. Download Kaksha 9 Ganit App for offline use. These apps work well without internet also. Ask your doubts in Discussion Forum and share your knowledge with your friends and other users.

We are updating and revising our contents are per student’s suggestion, need or for the simplicity. For any inconvenience, you may call us, Whats App, Mail or Message us. Vedic Maths is helpful to make calculation easier and faster. NCERT Solutions 2024-25 for class 9 Science is also available to download as well as Online to study. We always response to all calls, if we are not picking your call, it means we are busy with another user, call us little bit later or after an hour. You may leave message us on Whats App. Follow us on Instagram for latest Updates.

I. In Cartesian system, there are two perpendicular straight lines XX’ (horizontal line) and YY’ (vertical line) which intersect at origin. II. The x and y-coordinates of a point is the perpendicular distance from the Y-axis and X-axis measured along the X and Y-axes respectively. III. The y-coordinate of any point X-axis is zero and x-coordinate of any point on Y-axis is zero. IV. The axes divides the plane into four quadrants . 1. In 1st quadrants x > 0, y > 0 i.e (+, +) 2. In 2nd quadrants x < 0, y > 0 i.e (-, +) 3. In 3rd quadrants x < 0, y < 0 i.e (-, -) 4. In 4th quadrants x > 0, y < 0 i.e (+, -)

What are the main points of Class 9 Maths Chapter 3 for exams?

The main points for the term exam preparation from chapter 3 class 9th Maths are:

• The plane is called the Cartesian, or coordinate plane and the lines are called the coordinate axes.
• The horizontal line is called the x -axis, and the vertical line is called the y – axis.
• The point of intersection of the axes is called the origin.
• The distance of a point from the y – axis is called its x-coordinate, or abscissa, and the distance of the point from the x-axis is called its y-coordinate, or ordinate.
• If the abscissa of a point is x and the ordinate is y, then (x, y) are called the coordinates of the point.
• The coordinates of a point are of the form (+ , +) in the first quadrant, (–, +) in the second quadrant, (–, –) in the third quadrant and (+, –) in the fourth quadrant, where + denotes a positive real number and – denotes a negative real number.
• If x ≠ y, then (x, y) ≠ (y, x), and (x, y) = (y, x), if x = y.

How many problems are there in chapter 3 of class 9th Maths for exams?

As per latest NCERT books for class 9 Maths, in chapter 3, there are two exercises. The first exercise (Ex 3.1) contains two questions, and the second exercise (Ex 3.2) contains two questions, and two examples (examples 1, 2). So, there are in all six problems (6 questions and four examples) in chapter 3 (Coordinate Geometry) of class 9th Maths.

Is it possible to solve chapter 3 Coordinate Geometry of class 9th Maths in one day?

No, it is not possible to solve chapter 3 (Coordinate Geometry) of class 9th Maths in one day. Students need a maximum of 3 days to solve chapter 3 (Coordinate Geometry) of class 9th Maths if they give at least 1-2 hours per day to this chapter. This time also depends on student’s speed, efficiency, capability, and many other factors.

Is chapter 3 of class 9th Maths complicated?

No, chapter 3 of class 9th Maths is not at all complicated. It is the easiest chapter of class 9th Maths. This chapter is the student’s favourite chapter. Students quickly solve all questions of this chapter without any difficulty because the questions of this chapter are nice and easy.

« Chapter 2. Polynomials

Chapter 4. linear equations in two variables ».

Copyright 2024 by Tiwari Academy | A step towards Free Education

Logarithms – Exercise 3.3

This post has 24 comments.

in question 4 part (2) there is no 5 writen please write 5 near log

I’ve corrected the mistake. Thanks for the correction.

thnxx for sharing wts yr name

Really Helps!! Thanks alot..

Log of 32 is 1.5051 in calculator but in notes it is 1.5050

Ex 3.4 part 3 log may mistake hai

ok, we’ll check it.

In question no 1. Part 6. There is a mistake it shouod be log 25×97/29. Except of. Log 25×47/29

in question 1 part vi there is written 25×97 but its wrong 29

the correct value in the book is 25×47 29 please correct it ASAP.

Okay, We’ll check it.

Good app students will be learn this notes then students are well educate

Only one page is loading My internet is working I checked

download it.

sir sawal number 5 mein log5 ki value 0.6990 hai or app ne log 5 ki value0.69900 likhi hai please check

There is no mistake found in it.

Part v is missing in question 1

No, it is there.

Sorry found it

I have found helpfull to it

Hello there is a mistake in question 1 part 6 the value is “log 25 X 47” but 29. You have written “log 25 X 97” 29

Q1 last part ma log 25 x log 47 ha apne log 97 likha hua 47 ki jagah plz correct

I think that there is a mistake in Q5 part 3 can u correct it quickly because I need to study

Part 5 question 3 wrong hai❌

Leave a Reply Cancel reply

Search This Blog

Cbse mathematics.

Basic concepts, definitions and formulas of mathematics, mathematics assignments for 9th standard to 10+2 standard, maths study material for 8th, 9th, 10th, 11th, 12th classes, Mathematics lesson plan for classes 8th,10th and 12th standard, Interesting maths riddles and maths magic, Class-wise mathematics study material for students from 8th to 12. A complete resource centre of mathematics for students and teachers

Featured Posts

Linear programming class xii chapter 12, math assignment class ix ch -1| number system, maths assignment   class 9th chapter 1.

MATHEMATICS ASSIGNMENT CLASS IX  NUMBER SYSTEM

 (a) 1⁸ × 3⁰ × 5³ × 2²           Ans; 500,                

(b)  4 -3 × 4⁸ ÷ 4²                Ans; 64

(d) 3 -4 × 3 -5 ÷ 3¹⁰             Ans; 3 -19

Download complete pdf file 

Plese send us solution today is our test

Need solutions toooo

Post a Comment

Breaking news, popular post on this blog, lesson plan maths class 10 | for mathematics teacher.

Lesson Plan Math Class X (Ch-8) | Trigonometry

Lesson Plan Math Class 12 (Ch- 7) | Integration

• Assignment 10 15
• Assignment 11 12
• Assignment 12 15
• Assignment 8 8
• Assignment 9 5
• Lesson plan 10 15
• Lesson Plan 12 14
• Lesson Plan 8 10
• Maths 10 20
• Maths 11 21
• Maths 12 18

SUBSCRIBE FOR NEW POSTS

Get new posts by email:.

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 9 Maths – Class 9 Maths NCERT Solutions

If you are searching for NCERT Solutions for Class 9 Maths , you have reached the correct place. LearnCBSE.in has created most accurate and detailed solutions for Class 9 Maths NCERT solutions. NCERT Class 9 Maths Solutions includes all the questions provided as per new revised syllabus in Class 9 math NCERT textbook.  You can download PDFs of Maths NCERT Solutions Class 9 without LOGIN. You can also practice Extra Questions for Class 9 Maths  on LearnCBSE.in

NCERT Class 9 Maths Solutions –  NCERT Solutions Class 9 Maths

• Chapter 1 Number systems
• Chapter 2 Polynomials
• Chapter 3 Coordinate Geometry
• Chapter 4 Linear Equations in Two Variables
• Chapter 5 Introduction to Euclid Geometry
• Chapter 6 Lines and Angles
• Chapter 7 Triangles
• Chapter 8 Quadrilaterals
• Chapter 9 Areas of Parallelograms and Triangles
• Chapter 10 Circles
• Chapter 11 Constructions
• Chapter 12 Heron’s Formula
• Chapter 13 Surface Areas and Volumes
• Chapter 14 Statistics
• Chapter 15 Probability
• Class 9 Maths (Download PDF)

There are 15 chapters in class 9 maths. These chapters lay a foundation for the chapters that will come in class 10. This pdf is accessible to everyone and they can use this pdf based on their convenience. Here below we are helping you with the overview of each and every chapter appearing in the textbook.

NCERT Solutions for Class 9 Maths Chapter 1

• Class 9 Maths Number systems Exercise 1.1
• Class 9 Maths Number systems Exercise 1.2
• Class 9 Maths Number systems Exercise 1.3
• Class 9 Maths Number systems Exercise 1.4
• Class 9 Maths Number Systems Exercise 1.5
• Class 9 Maths Number Systems Exercise 1.6
• Number Systems Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 2

• Class 9 Maths Polynomials Exercise 2.1
• Class 9 Maths Polynomials Exercise 2.2
• Class 9 Maths Polynomials Exercise 2.3
• Class 9 Maths Polynomials Exercise 2.4
• Class 9 Maths Polynomials Exercise 2.5
• Polynomials Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 3

• Class 9 Maths Coordinate Geometry Exercise 3.1
• Class 9 Maths Coordinate Geometry Exercise 3.2
• Class 9 Maths Coordinate Geometry Exercise 3.3
• Coordinate Geometry Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 4

• Class 9 Maths Linear Equations in Two Variables Exercise 4.1
• Class 9 Maths Linear Equations in Two Variables Exercise 4.2
• Class 9 Maths Linear Equations in Two Variables Exercise 4.3
• Class 9 Maths Linear Equations in Two Variables Exercise 4.4
• Linear Equations for Two Variables Class 9 Extra Questions
• Linear Equations in Two Variables Class 9 Word Problems and Important Questions

NCERT Solutions for Class 9 Maths Chapter 5

• Class 9 Maths Introduction to Euclid Geometry Exercise 5.1
• Chapter 5 Introduction to Euclid’s Geometry Ex  5.2
• Introduction to Euclid’s Geometry Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 6

• Class 9 Maths Lines and Angles Exercise 6.1
• Class 9 Maths Lines and Angles Exercise 6.2
• Class 9 Maths Lines and Angles Exercise 6.3
• Lines and Angles Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 7

• Class 9 Maths Triangles Exercise 7.1
• Class 9 Maths Triangles Exercise 7.2
• Class 9 Maths Triangles Exercise 7.3
• Class 9 Maths Triangles Exercise 7.4
• Chapter 7 Triangles Ex 7.5
• Triangles Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 8

• Class 9 Maths Quadrilaterals Exercise 8.1
• Class 9 Maths Quadrilaterals Exercise 8.2
• Quadrilaterals Class 9 Extra Questions
• Quadrilaterals Class 9 Maths Important Questions

NCERT Solutions for Class 9 Maths Chapter 9

• Class 9 Maths Areas of Parallelograms and Triangles Exercise 9.1
• Class 9 Maths Areas of Parallelograms and Triangles Exercise 9.2
• Class 9 Maths Areas of Parallelograms and Triangles Exercise 9.3
• Chapter 9 Areas of Parallelograms and Triangles Ex 9.4
• Areas of Parallelograms and Triangles Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 10

• Class 9 Maths Circles Exercise 10.1
• Class 9 Maths Circles Exercise 10.2
• Class 9 Maths Circles Exercise 10.3
• Class 9 Maths Circles Exercise 10.4
• Class 9 Maths Circles Exercise 10.5
• Chapter 10 Circles Ex 10.6
• Circles Class 9 Extra Questions
• Circles Class 9 Maths Important Questions with Answers

NCERT Solutions for Class 9 Maths Chapter 11

• Class 9 Maths Constructions Exercise 11.1
• Class 9 Maths Constructions Exercise 11.2
• Constructions Class 9 Extra Questions
• Class 9 Maths Constructions Important Questions

NCERT Solutions for Class 9 Maths Chapter 12

• Class 9 Maths Heron’s Formula Exercise 12.1
• Class 9 Maths Heron’s Formula Exercise 12.2
• Heron’s Formula Class 9 Extra Questions
• Class 9 Areas of Parallelograms and Triangles Worksheets with Solutions

NCERT Solutions for Class 9 Maths Chapter 13

• Class 9 Maths Surface Areas and Volumes Exercise 13.1
• Class 9 Maths Surface Areas and Volumes Exercise 13.2
• Class 9 Maths Surface Areas and Volumes Exercise 13.3
• Class 9 Maths Surface Areas and Volumes Exercise 13.4
• Class 9 Maths Surface Areas and Volumes Exercise 13.5
• Class 9 Maths Surface Areas and Volumes Exercise 13.6
• Class 9 Maths Surface Areas and Volumes Exercise 13.7
• Class 9 Maths Surface Areas and Volumes Exercise 13.8
• Chapter 13 Surface Areas and Volumes Ex 13.9
• Surface Areas and Volumes Class 9 Extra Questions
• Surface Areas and Volumes Word Problems and Important Questions

NCERT Solutions for Class 9 Maths Chapter 14

• Class 9 Maths Statistics Exercise 14.1
• Class 9 Maths Statistics Exercise 14.2
• Class 9 Maths Statistics Exercise 14.3
• Class 9 Maths Statistics Exercise 14.4
• Statistics Class 9 Extra Questions
• Maths Class 9 Statistics Important Questions with solutions

NCERT Solutions for Class 9 Maths Chapter 15

• Class 9 Maths Probability Exercise 15.1
• Probability Class 9 Extra Questions
• Class 9 Probability Important Questions

Maths NCERT Solutions

In this article, we will provide you all the necessary information regarding Class 9th Maths NCERT Solutions. NCERT Maths Class 9 Textbook Solutions is solved by expert teachers provide you a strong foundation in the subject Maths. The 9th CBSE Maths Solutions are solved keeping various parameters in mind such as stepwise marks, formulas, mark distribution, etc., This in turn, helps you not to lose even a single mark.

It is important to build a strong base in maths. This is one subject that will be useful for every student irrespective of their branch. And thus we are helping you with NCERT Solutions of Class 9 Maths. This pdf can guide you to all the solutions given in the NCERT textbook along with the exercise.

Maths plays a major role in every student’s life. Working on NCERT Solutions Class 9 Maths Notes will not only help you to score good marks in the grade 9 but also helps you to clear the toughest competitive exams like JEE, NEET, JEE Advanced etc., Further it is CBSE Class 9 Maths Solutions will also be helpful to clear the exams like Olympiad, NTSE, through which you can easily avail scholarship and make your education journey hassle free. Read on to find out everything about NCERT Class 9th Maths Solutions to secure colorful marks in CBSE grade 9.

CBSE Class 9 Maths Unit Wise Weightage

NCERT Solutions for Class 9 Maths PDF Download

Browse all 9th NCERT Maths Solutions from your mobile or desktop and gain more marks in your exams. You can also go through the Chapterwise Important Questions for Class 9 Maths which will help you in extra practice and exams. This consists of 1 mark Questions, 2 Mark Numericals Questions, 3 Marks Numerical Questions, 4 Marks Questions, Word Problems, and previous year questions (VSAQ, SAQ, LAQ, and Value-Based Questions) from all chapters in class 9 maths designed according to CBSE Class 9 Maths Syllabus are laid in a sequential manner will help in scoring more marks in your Board Examinations.

Class 9 Maths Chapter 1 Number Systems

This chapter is an extension of the number line you have studied in the previous standards. You will also get know how to place various types of numbers on the number line in this chapter. A total of 6 exercises in this chapter guides you through the representation of terminating or non terminating of the recurring decimals on the number line. Along with the rational numbers, you will also learn where to put the square roots of 2 and 3 on the number line. There are also laws of rational exponents and Integral powers taught in this chapter.

Class 9 Maths Chapter 2 Polynomials

This chapter guides you through algebraic expressions called polynomial and various terminologies related to it. There is plenty to learn in this chapter about the definition and examples of polynomials, coefficient, degrees, and terms in a polynomial. Different types of polynomials like quadratic polynomials, linear constant, cubic polynomials, factor theorems, factorization theorem are taught in this chapter.

Class 9 Maths Chapter 3 Coordinate Geometry

A total of 3 exercises in this chapter will help you understand coordinate geometry in detail. Along with there are concepts like concepts of a Cartesian plane, terms, and various terms associated with the coordinate plane are learned in this chapter. You will also learn about plotting a point in the XY plane and naming process of this point.

Class 9 Maths Chapter 4 Linear Equations in Two Variables

This chapter will introduce to a new equation, ax + by + c = 0 in two variables. The questions in this chapter will be related to proving that a linear number has infinite solutions, using ba graph to plot linear equation, and justifying any point on a line. A total of 4 exercises are there for your practice and understanding.

Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

The chapter begins with the introduction of Indian geometry as it has some base in Euclid’s geometry. The Introduction of Euclid’s geometry in this chapter helps you with a process of defining geometrical terms and shapes. There are a total of 2 exercises where you will dwell into the relationship between theorems, postulates, and axioms.

Class 9 Maths Chapter 6 Lines and Angles

This chapter in the NCERT textbook also has 2 exercises in it. There are various theorems on angles and lines in this chapter that can be asked in for proof. The first theorem which will be asked for proof is “If the two lines are intersecting each other, then the vertically opposite angles formed will be equal”. Also, the second proof that is asked is, “The sum of all the angles formed in a triangle is 180°”. There are other theorems also given, but these are based on only these two theorems.

Class 9 Maths Chapter 7 Triangles

The contents in this chapter will help in understanding the congruence of triangles along with the rules of congruence. This chapter also has two theorems in it and a total of 5 exercises for students to practice. These two theorems are given as proof while the other is used in the problems or applications. Besides this, there are many properties of inequalities and triangles in this chapter for students to learn.

Class 9 Maths Chapter 8 Quadrilaterals

This chapter is very interesting for students to learn and there are only 2 exercises in it. The questions in this chapter are related to the properties related to quadrilateral and their combinations with the triangles.

Class 9 Maths Chapter 9 Areas of Triangles and Parallelogram

This chapter is important to understand the meaning of the area with this, the areas of the triangle, parallelogram, and their combinations are asked in this chapter along with their proofs. There are also examples of the an which are used as a proof of theorems in this chapter.

Class 9 Maths Chapter 10 Circles

In this chapter, you will get to learn some interesting topics like equal chords and their distance from the center, the chord of a point and angle subtended by it, angles which are subtended by an arc of a circle, and cyclic quadrilaterals. There are also theorems in this chapter which are helpful to prove questions based on quadrilaterals, triangles, and circles.

Class 9 Maths Chapter 11 Constructions

This chapter will help you learn two different categories of construction. One of them is the construction of a triangle along with its base, difference or sum of the remaining two sides, and one base angle with base angle and parameters are given. The other is the construction of bisectors for the line segments and measuring angles that include 45/60/90, etc.

Class 9 Maths Chapter 12 Heron’s Formula

This chapter joins the long list NCERT chapters that also has 2 exercises in it. In this chapter, you will be learning the concepts that are an extension of concepts related to the area of a triangle. Furthermore, you will get to learn about finding the area of triangles, quadrilaterals, and various types of polygons. Along with the, is there is also knowledge of formula for the plane figures given in the chapter.

Class 9 Maths Chapter 13 Surface Areas and Volume

Every one of you has already studied mensuration in previous standards. Thus, you must be aware of surface areas and this chapter is on that. Along with this, this chapter also has a volume of cubes, cylinders, cuboids, cones, hemispheres, and spheres. Also, in this chapter, you will get to know about the conversion of one figure into another, and comparing volumes of two figures.

Class 9 Maths Chapter 14 Statistics

In this chapter, you will get the knowledge about the descriptive statistics and the collection of data based on different aspects of life. This is useful for interpretation and stating the inferences from the data. This chapter gives the basic knowledge of the collection of data as the data is available in raw form. As you move forward and study 5 exercises you will learn about presenting data in tabular form by keeping them together in regular intervals, polygon, histogram, or bar graph drawing. You will also get to the topics like mean, median, and mode and finding the central tendency with the raw data.

Class 9 Maths Chapter 15 Probability

Probability in this book is based on the observation approach or finding the frequency. Questions in this chapter are very intuitive as they are based on daily life or day to day situations. For example, incidents like throwing dice, coin tossing, the probability for a deck of cards and simple events. If you are curious this chapter can be very interesting for you to learn and understand.

There may be a few times where you feel you are stuck and not getting the desired solutions. This is where we can you with NCERT solutions for class 9 maths. You can use this article as a reference for all the chapters in the NCERT book.

FAQs on NCERT Solutions for Class 9 Maths

1.  How do I study for the CBSE Class 9 Maths Solutions?

Practice the CBSE 9th Maths Solutions and try covering all the topics and questions carefully.

2. How could I learn Class 9 maths in an efficient and fast way?

The best way to learn fast is to solve NCERT. NCERT has few questions but has great importance in papers. If you can solve the whole NCERT with examples, you can easily score well. If you ample time try referring to RD Sharma too as it’s the best book.

3. Can I get solved math questions for the Class 9 CBSE?

Yes, you can get solved math questions for Class 9 CBSE Exams from our page. Access the direct links available on our page and download them for free of cost.

4.  Which is the best maths guide for 9th CBSE?

NCERT Solutions for Class 9 Maths will help you aid your preparation. Get a good grip over the subject by practicing more and more NCERT Solutions prevailing on our page.

5. How can I download the NCERT Solution Book for the CBSE Class 9 Maths?

Aspirants can download the CBSE Class 9 Maths NCERT Solutions by tapping on the direct links available. Lay a stronger foundation of the concepts by referring to the NCERT Solutions.

6. How long should a student of Class 9 practice math?

It’s not about the time limit. Try practicing as much as you can and revise the complete syllabus of Class 9 Maths for the exams to score well.

Now that you are provided all the necessary information regarding NCERT Solutions for class 9 Maths and we hope this detailed article on Class 9 Maths NCERT Solutions is helpful. If you have any doubt regarding this article or NCERT Class 9 Maths Solutions, leave your comments in the comment section below and we will get back to you as soon as possible.

Free Resources

NCERT Solutions

Quick Resources

AssignmentsBag.com

Assignments For Class 9

Assignments for Class 9 have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your book and get good marks in class 9 exams.

Some advantages of Free Assignments for Class 9

• Solving Assignments for Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your class test
• You will be able to revise all topics given in the ebook for Class 9 as all questions have been provided in the question banks
• NCERT Class 9 Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Assignments PDF.

You can download free assignments for class 9 from https://www.assignmentsbag.com

You can get free PDF downloadable assignments for Grade 9 from our website which has been developed by teachers after doing extensive research in each topic.

On our website we have provided assignments for all subjects in Grade 9, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

You can easily get question banks, topic wise notes and questions and other useful study material from https://www.assignmentsbag.com without any charge

Yes all test papers for Class 9 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

https://www.assignmentsbag.com is the best portal to download all assignments for all classes without any charges.

Related Posts

Math Worksheet Addition Carry Over Assignments Download PDF

English Prepositions Assignments Download PDF

Assignments For Class 7 Social Science

Talk to our experts

1800-120-456-456

NCERT Solutions for Class 9 Maths Exercises

• NCERT Solutions
• Maths All Exercises

NCERT Solutions for Class 9 Maths Exercises - PDF Solutions

Class 9 Maths has a vivid CBSE syllabus covering excellent topics in Mathematics. The CBSE board has formulated the syllabus for the development of respective mathematical concepts and skills among the students. To prepare these chapters, refer to the NCERT Class 9 Maths All Exercises Solutions developed by the subject experts of Vedantu and learn how the fundamental questions can be solved accurately.

Learn the best approaches to solve such problems and score more in the exams.

Vedantu is a platform that provides free NCERT Solution and other study materials for students. Students can register and get access to the best and reliable source of study materials specially made by master teachers at Vedantu. You can download NCERT Solutions Class 9 Maths to help you to revise the complete Syllabus and score more marks in your examinations. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 9 Science , Maths solutions, and solutions of other subjects that are available on Vedantu only.

NCERT Solutions for Class 9 Maths - Chapter-wise List

Given below are the chapter-wise NCERT Solutions for Class 9 Maths . These solutions are provided by the Maths experts at Vedantu in a detailed manner. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

NCERT Solutions for Class 9 Maths Chapter 1

NCERT Solutions for Class 9 Maths Chapter 2

Ncert solutions for class 9 maths chapter 3, ncert solutions for class 9 maths chapter 4, ncert solutions for class 9 maths chapter 5, ncert solutions for class 9 maths chapter 6, ncert solutions for class 9 maths chapter 7, ncert solutions for class 9 maths chapter 8, ncert solutions for class 9 maths chapter 9, ncert solutions for class 9 maths chapter 10, ncert solutions for class 9 maths chapter 11, ncert solutions for class 9 maths chapter 12, ncert solutions for class 9 maths chapter 13, ncert solutions for class 9 maths chapter 14, ncert solutions for class 9 maths chapter 15, ncert solutions for class 9 maths all exercises.

What could be better if you get the simpler and readymade solutions of your Class 9 NCERT textbook exercises ? Moreover, all these are created by an experienced subject matter expert. Can you imagine how beneficial these could be? Sounds amazing, right! You must opt for these NCERT solutions for Class 9 Maths All Exercises right away. You can download NCERT solutions Class 9 Maths All Exercises from Vedantu official website (vedantu.com) by registering yourself with your phone number/ email address. You can also access the same study materials from Vedantu app as well. In that case, you need to download the Vedantu app first from Google play store.

You will get Class 9 Maths All Exercises NCERT solutions written in a simple and lucid manner. Solve all the problems/questions given in the exercises and evaluate your performance with these 100% accurate solutions so that you can learn how to write answers to the questions from any perspective during the final exam. Each of the answers in the Maths All Exercises NCERT solutions Class 9 is student-friendly and customized by the experts.

These NCERT solutions Class 9 Maths All Exercises contain step-by-step answers to all the questions from the exercise which are considered as an invaluable aid to the students when it comes to regular study, exam preparation or doing homework. Class 9 Maths All Exercises NCERT solutions will clear all your doubts in very less time. Hence your confidence will be boosted. By practising the questions from these books, you will be able to improve your time management skills. That will help you in solving all the questions in the stipulated time frame during the final exam.

NCERT Solutions for Class 9 Maths All Exercises are designed as per the latest CBSE curriculum and guidelines. Vedantu’s study materials are updated regularly as per the latest changes. Hence students of Class 9 who are referring to these materials will be able to score the best marks in the final exam. Once you start using these materials, the preparation for Class 9 exam and scoring the highest percentile amongst your peers will seem like a cakewalk at the end of the day.

NCERT Solutions for Class 9 Maths Chapter 1 Number System

6 exercises are included in the NCERT Solutions for Class 9 Maths Chapter 1 which are Exercise 1.1 to 1.6. Most of the questions are application based and a few are memory-based questions to test students’ application skills and cognizance.

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials

Chapter 2 of NCERT Solutions for Class 9 Maths includes 5 exercises. The majority of questions are practical and application-based which allows you to improve the understanding of the chapter.

Class 9 Maths NCERT Solutions Chapter 3 Coordinate Geometry

With 3 exercises comprising both long and short questions, the exercises of NCERT Class 9 Solutions Maths for Chapter 3 are designed to test your application skills as well as cognizance.

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables

NCERT 9th class Maths book solutions include 4 exercises with 16 questions in total. This chapter includes application-based questions to test your understanding of the chapter.

NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid's Geometry

Chapter 5 of Class 9 Maths NCERT Solutions has 2 exercises. The questions are based on analysis to test your analytical skills and cognizance.

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles

NCERT Solution Class 9 Maths of Chapter 6 includes 3 exercises.

NCERT Solutions for Class 9 Maths Chapter 7 Triangles

NCERT Solution Class 9 Maths of Chapter 7 includes 5 exercises . These questions are designed to test your cognizance.

NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals

NCERT Solution Class 9 Maths of Chapter 8 includes 2 exercises. These questions are based on your application skills and analysis skills.

NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles

NCERT Solution Class 9 Maths of Chapter 9 includes 4 questions to test your application skills, numerical skills and memory skills.

NCERT Solutions for Class 9 Maths Chapter 10 Circles

9th class Maths book solutions Chapter 10 includes 6 exercises and solutions to all 35 questions given in your NCERT Textbook. These questions are based on your numerical abilities, application skills, and memory skills.

NCERT Solutions for Class 9 Maths Chapter 11 Constructions

NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula

NCERT Solution Class 9 Maths of Chapter 12 includes 2 exercises designed on your ability to decipher and apply the formula.

NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes

NCERT Solution Class 9 Maths of Chapter 13 includes 9 exercises and these questions will test your understanding ability and memory skills (required to retain the different formulae).

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

NCERT Solution Class 9 Maths of Chapter 14 contains 4 exercises. The questions judge your comprehensive ability and analytical skills.

NCERT Solutions Class 9 Maths Chapter 15 Probability

NCERT Solution Class 9 Maths Chapter 15 comprises just a single exercise that will assess your comprehensive ability. To prepare for the exams, make sure to read the chapter thoroughly and practise all the exercise questions. This will help you to score better.

CBSE Class 9 Maths Chapter-Wise Marks Weightage 

Internal Assessment for CBSE Class 9 Maths

Importance of CBSE Chapter Wise List of Class 9 Maths All Exercises

The experts have formulated the exercise solutions following the latest CBSE syllabus of Class 9 Maths so that students can find them conveniently here. The 9th Maths All Exercises Book Answers for all the exercises have been simplified so that students can easily grab hold of the concepts and use them to develop their answering skills.

The Maths chapters included in this syllabus are all crucial for the conceptual development of the students. They will need these fundamental concepts and skills in the future to study advanced Mathematics in higher classes. Hence, the foundation needs to be strong enough to carry these skills.

This is where the solutions can act as the right guide for the students to develop such skills in a profound way.

Download NCERT Maths All Exercises Book Class 9 Solutions PDF

Perform the NCERT Maths All Exercises Book Class 9 Solutions PDF free download to complete your study material. Find out how the experts have skillfully solved all the questions utilising mathematical principles. Develop your skills accordingly and learn how to ace the Class 9 Maths exams .

Important Related Links for CBSE Class 9 Maths

Important Questions for CBSE Class 9 Math

RS Aggarwal Class 9 Solutions for Math book

NCERT Solutions for Class 9 Maths

CBSE Class 9 Maths Revision Notes

FAQs on NCERT Solutions for Class 9 Maths Exercises

1. How can I prepare all the Class 9 Maths chapters?

Complete preparing a chapter by solving its exercises. Compare your answers to the solutions to find the preparation gaps to fix them. Proceed to the next chapter. This is how you can complete the whole syllabus.

2. How many chapters are there in Class 9 Maths?

There are 15 chapters in the CBSE Class 9 Maths syllabus.

3. What is the best way to remember the Class 9 Maths formulas?

The best way to remember the Class 9 Maths formulas is to prepare and apply them. The more your practice the easier you can remember them all.

4. How can I revise the Class 9 Maths exercises before an exam?

Follow the solutions and revise the answers before an exam and reduce your preparation time.

5. Can I use the exercise solutions for doubt resolution?

The answers in the solutions can be used to resolve your doubts related to the exercise problems. All the answers are accurate and follow the latest CBSE guidelines .

NCERT Solutions for Class 9

Cbse study materials for class 9, cbse study materials.

• NCERT Solutions
• NCERT Class 9
• NCERT 9 Maths
• Chapter 7: Geometry Of Triangles
• Exercise 7.3

NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.3

The third exercise of Chapter 7 Maths Class 9 NCERT book covers a few more criteria for the congruence of triangles. This exercise mainly focuses on the SSS and RHS congruence rules. The exercise contains only 5 questions which are based on proof. To help students in their studies, here we have provided the solutions to all the questions in PDF format with detailed explanations. Students can download the NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.3 PDF through the link provided further below on this page. Also, these solutions are prepared by the best teachers.

To begin with, students should try to solve Exercise Problem 7.3 on their own. After that, they should go through the solution PDF. This will assist them in getting to know the best way of writing the answers that will help them in scoring more marks in the CBSE Maths paper. Also, their doubts related to any particular question will get resolved with the help of NCERT Solutions .

NCERT Solutions for Class 9 Maths Chapter 7 – Triangles Exercise 7.3

carouselExampleControls112

Previous Next

Students can also look at the NCERT Solutions of Class 9 for Science subject to know the answers to all the chapters with detailed explanations.

Access other exercise solutions of Class 9 Maths Chapter 7 – Triangles

Exercise 7.1 Solution 8 Questions (6 Short Answer Questions, 2 Long Answer Questions)

Exercise 7.2 Solution 8 Questions (6 Short Answer Questions, 2 Long Answer Questions)

Exercise 7.4 Solution 6 Questions (5 Short Answer Questions, 1 Long Answer Question)

Exercise 7.5 (Optional) Solution 4 Questions

Access answers to NCERT Solutions for Class 9 Maths Chapter 7 – Triangles Exercise 7.3

1. ΔABC and ΔDBC are two isosceles triangles on the same base BC, and vertices A and D are on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that

(i) ΔABD ≅ ΔACD

(ii) ΔABP ≅ ΔACP

(iii) AP bisects ∠A as well as ∠D

(iv) AP is the perpendicular bisector of BC

In the above question, it is given that ΔABC and ΔDBC are two isosceles triangles.

(i) ΔABD and ΔACD are similar by SSS congruency because

AD = AD (It is the common arm)

AB = AC (Since ΔABC is isosceles)

BD = CD (Since ΔDBC is isosceles)

∴ ΔABD ≅ ΔACD.

(ii) ΔABP and ΔACP are similar as

AP = AP (It is the common side)

∠PAB = ∠PAC (by CPCT since ΔABD ≅ ΔACD)

So, ΔABP ≅ ΔACP by SAS congruency condition.

(iii) ∠PAB = ∠PAC by CPCT as ΔABD ≅ ΔACD

AP bisects ∠A. — (i)

Also, ΔBPD and ΔCPD are similar in SSS congruency as

PD = PD (It is the common side)

BP = CP (by CPCT as ΔABP ≅ ΔACP)

So, ΔBPD ≅ ΔCPD.

Thus, ∠BDP = ∠CDP by CPCT — (ii)

Now, by comparing (i) and (ii), it can be said that AP bisects ∠A as well as ∠D.

(iv) ∠BPD = ∠CPD (by CPCT as ΔBPD ΔCPD)

and BP = CP — (i)

∠BPD +∠CPD = 180° (Since BC is a straight line)

⇒ 2∠BPD = 180°

⇒ ∠BPD = 90° —(ii)

Now, from equations (i) and (ii), it can be said that

AP is the perpendicular bisector of BC.

2. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that

(i) AD bisects BC (ii) AD bisects ∠A.

It is given that AD is an altitude and AB = AC. The diagram is as follows:

(i) In ΔABD and ΔACD,

∠ADB = ∠ADC = 90°

AB = AC (It is given in the question)

AD = AD (Common arm)

∴ ΔABD ≅ ΔACD by R.H.S. congruence condition.

Now, by the rule of CPCT,

So, AD bisects BC.

(ii) Again, by the rule of CPCT, ∠BAD = ∠CAD

Hence, AD bisects ∠A.

3. Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see Fig. 7.40). Show that:

(i) ΔABM ≅ ΔPQN

(ii) ΔABC ≅ ΔPQR

The given parameters are:

BC = QR and

(i) ½ BC = BM and ½ QR = QN (Since AM and PN are medians)

Also, BC = QR

So, ½ BC = ½ QR

In ΔABM and ΔPQN,

AM = PN and AB = PQ (As given in the question)

BM = QN (Already proved)

∴ ΔABM ≅ ΔPQN by SSS congruency.

(ii) In ΔABC and ΔPQR,

AB = PQ and BC = QR (As given in the question)

∠ABC = ∠PQR (by CPCT)

So, ΔABC ≅ ΔPQR by SAS congruency.

4. BE and CF are two equal altitudes of a triangle ABC. Using the R.H.S. congruence rule, prove that the triangle ABC is isosceles.

It is known that BE and CF are two equal altitudes.

Now, in ΔBEC and ΔCFB,

∠BEC = ∠CFB = 90° (Same Altitudes)

BC = CB (Common side)

BE = CF (Common side)

So, ΔBEC ≅ ΔCFB by RHS congruence criterion.

Also, ∠C = ∠B (by CPCT)

Therefore, AB = AC as sides opposite to the equal angles is always equal.

5. ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C.

In the question, it is given that AB = AC.

Now, ΔABP and ΔACP are similar by RHS congruency as

∠APB = ∠APC = 90° (AP is altitude)

AB = AC (Given in the question)

AP = AP (Common side)

So, ΔABP ≅ ΔACP

∴ ∠B = ∠C (by CPCT)

Students have studied the AAA congruence and other congruence rules related to the angle of a triangle in the previous two exercises. Here students will learn some more new Congruence rules, which will be related to the sides of a triangle. These congruence rules are described in two theorems as mentioned below:

• Theorem 7.4 (SSS congruence rule): If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
• Theorem 7.5 (RHS congruence rule): If in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

After this, the examples are given in the NCERT book to illustrate them in a better way for students’ understanding. Questions in the exercise are fully based on SSS and RHS congruence rules. So, the students should first go through the examples and then solve the exercise problems.

We hope the information on “ NCERT Solution for Class 9 Maths Chapter 7 Triangles Exercise 7.3” is useful for students. Stay tuned for further updates on CBSE and other competitive exams. To access interactive Maths and Science videos, download the BYJU’S App and subscribe to YouTube Channel.

Leave a Comment Cancel reply

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

Awesome platform to study. I ‘m very glad.

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.