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Course-wide Content







  • List of Lessons
  • 1.1 Points, Lines, and Planes
  • 1.2 Measuring Segments
  • 1.3 Measuring Angles
  • 1.4 Addition Postulate
  • 1.5 Angle Pairs
  • Unit 1 Review
  • Unit 1 Algebra Review
  • 2.1 Reasoning and Proof
  • 2.2 Intro to Proofs
  • 2.3 More with Proofs
  • Unit 2 Review
  • 3.1 Lines and Angles
  • 3.2 Properties of Parallel Lines
  • 3.3 Proving Lines Parallel
  • 3.4 Parallel Lines and Triangles
  • 3.5 Equations of Lines in the Coordinate Plane
  • 3.6 Slopes of Parallel and Perpendicular Lines
  • Unit 3 Review
  • Unit 3 Algebra Review
  • 4.1 Triangles
  • 4.2 SSS and SAS
  • 4.3 ASA and AAS
  • 4.4 CPCTC and HL
  • Unit 4 Review
  • Unit 4 Algebra Review
  • 5.1 Polygon Angles
  • 5.2 Parallelogram Properties
  • 5.3 Conditions for Parallelograms
  • 5.4 Rhombuses and Rectangles
  • 5.5 Conditions for Rhombuses and Rectangles
  • 5.6 Kites and Trapezoids
  • Unit 5 Review
  • Unit 5 Algebra Skillz Review
  • 6.1 Similar Figures
  • 6.2 Prove Triangles Similar
  • 6.3 Side Splitter Theorem
  • Unit 6 Review
  • Unit 6 Algebra Review
  • Semester Exam Review
  • 7.1 Pythagorean Theorem and Its Converse
  • 7.2 Special Right Triangles I
  • 7.3 Special Right Triangles II
  • 7.4 Trig Ratios
  • 7.5 Inverse Trig Functions
  • Unit 7 Review
  • Unit 7 Algebra Review
  • 8.1 Transformations
  • 8.2 Reflections
  • 8.3 Rotations
  • 9.1 Parallelograms and Triangles
  • 9.2 Trapezoid, Kites, Rhombi
  • 9.3 Regular Polygons
  • 9.4 Circles and Arcs
  • 9.5 Sectors and Segments
  • Unit 9 Review
  • Unit 9 Algebra Review
  • 10.1 SA of Prisms and Cylinders
  • 10.2 SA of Pyramids and Cones
  • 10.3 Volume of Prisms and Cylinders
  • 10.4 Volume of Pyramids and Cones
  • 10.5 SA and Volume of Spheres
  • Unit 10 Review
  • Unit 10 Algebra Review
  • 11.1 Tangents to Circles
  • 11.2 Chords and Arcs
  • 11.3 Intercepted Arcs
  • 11.4 Secants and Tangents
  • Unit 11 Review
  • 12.1 Introduction to Probability
  • 12.2 More Probability
  • Unit 12 Review
  • Unit 12 Algebra Review
  • Semester 2 Exam Review
  • Teacher Resources
  • FlippedMath.com

Section 1.5 Angle Pairs

File Size: 306 kb
File Type: pdf

Practice Solutions

unit 6 geometry homework 4 angle relationships answer key

File Size: 355 kb
File Type: pdf

Corrective Assignment

File Size: 105 kb
File Type: pdf

Application Walkthrough

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Ms. Tecce's Math Classes: 2018 Honors Geometry

  • 2019-2020 AP Statistics
  • 2019-2020 Statistics & Probability
  • 2019-2020 Geometry Concepts
  • Salem Election Info for March 2021

Honors Geometry

Announcements

Due Wed, 1/16

Finish the 7 assigned Khan Academy problems

Upcoming Assessments:

Unit 7 Test Thurs, 1/10

Final Exam Wed, 1/23

Completed Reference Sheets

  • HG Objects in Geometry Ref Sheet
  • HG Vocabulary for Points, Lines, and Planes Ref Sheet
  • HG Conditional Statements Ref Sheet
  • HG Segments Ref Sheet
  • HG Angles Ref Sheet
  • HG Angle Relationships Ref Sheet
  • HG Triangle Theorems Ref Sheet
  • HG Circle Theorems Ref Shet
  • HG Reasons #1 Algebraic Properties
  • HG Reasons #2 Segments
  • HG Reasons #3 Angles
  • HG Reasons #4 Angles
  • HG Reasons #5 Parallel Lines
  • HG Reasons #7 Congruent Triangles

HG Unit 7 - Transformations, Congruent Triangles, and Special Quadrilaterals

Topics for Unit 7 - Transformations, Congruent Triangles, and Special Quadrilaterals

  • Construct the image of a figure after a transformation using a compass, protractor, and/or ruler
  • Plot the image of a figure after a transformation on a coordinate plane
  • Describe a transformation in words and using coordinate notation
  • Classify a transformation as an isometry
  • Prove that triangles are congruent (SSS, ASA, SAS, AAS)
  • Identify congruent parts of congruent triangles
  • Write proofs involving congruent triangles
  • Use the properties of parallelograms, rectangles, rhombuses, squares, trapezoids, and isosceles trapezoids to solve problems
  • Classify a quadrilateral as a parallelogram, rectangle, rhombus, square, trapezoid, and/or isosceles trapezoid
  • Apply the properties of a median of a trapezoid to solve problems
  • Complete proofs involving parallelograms, rectangles, rhombuses, squares, trapezoids, and isosceles trapezoids (and congruent triangles)

Exercises in the book (all odd answers are in the back of the book):

p.501 #1-28, 36, 37            p.506 #1-17, 24-30                    p.513 #1-2, 6-9, 15, 31                     p.529 #6-8, 16-19, 26-31

p.329 #1-33, 39-44            p.337 #1-17, 20-36                p.344 #1-32, 35 

p.351 #1-8, 11-22, 30-35    p.359 #1, 3-9, 13-22, 25-26    p.370 #12-25

  • HG Congruent Triangles Reference Sheet
  • HG Congruent Triangles Proof Packet
  • HG Congruent Triangles Proof Packet Answers (Flow proof)
  • HG Congruent Triangle Proof Answers (2-column proofs)
  • HG Quadrilaterals Reference Sheet
  • HG Parallelogram Packet (plus more)

HG Unit 6 - Similarity & Trigonometry

Topics in Unit 6 - Similarity & Trigonometry

  • Solve a proportion
  • Write a ratio
  • Use an extended ratio (a:b:c) to solve a problem
  • Use the proportionality theorems to find missing lengths
  • Determine whether two polygons are similar (check all corresponding angles are congruent and all corresponding sides are in the same ratio)
  • Use similar polygons to find missing side lengths and angle measures
  • Write a similarity statement for similar polygons
  • Prove triangles similar (AA~, SAS~, SSS~)
  • Write a proof to show triangles are similar (AA~)
  • Find the scale factor for two similar polygons (and ratio of perimeters)
  • Find missing side lengths of 45-45-90 triangles
  • Find missing side lengths of 30-60-90 triangles
  • Write trigonometric ratios
  • Use trigonometry to find missing side lengths and angle measures of right triangles
  • Solve word problems with trigonometry
  • HG Practice Solving Proportions Answers
  • HG Practice with Similar Triangles Answers
  • HG Special Right Triangle Practice Answers
  • HG Proving Triangles Similar Extra Practice Answers

HG Unit 5 - Circles

Topics in Unit 5 - Circles

  • Identify parts of a circle (center, radius, chord, diameter, secant, tangent)
  • Name a circle
  • Find the circumference of a circle
  • Find the area of a circle
  • Find central angle and arc measures in a circle
  • Find arc length and sector area
  • Write the equation of a circle given a graph and/or points
  • Graph a circle on a coordinate plane
  • Use theorems to find missing lengths in and around a circle
  • Use theorems to find angle measures
  • Use theorems to find arc measures
  • Use Pythagorean Theorem to find missing side lengths in a right triangle
  • Use Converse of Pythagorean Theorem to classify a triangle as right, obtuse, or acute based on side lengths
  • Find the midpoint, slope, and distance between two points on a coordinate plane

*All bold topics have already been covered in class.

Exercises in the Book (all odd answers are in the back of the book):

p.557 #1-52         p.567 #1-28, 32-47        p .574 #1-39                     p.583 #1-36        

p.593 #1-22         p.602 #1-26                     p.610 #1-15, 17-24         p.617 #2-32

  • HG Unit 5 Review Packet
  • HG Unit 5 Review Packet Answers

HG Unit 4 - Triangles

Topics in Unit 4 - Triangles

  • Name a triangle and its parts (vertices, sides, interior angles)
  • Classify a triangle by its angles (acute, right, obtuse, equiangular) and sides (scalene, isosceles, equilateral)
  • Find unknown side lengths and angle measures based on a marked triangle
  • Find unknown angle measures of a triangle (interior angles and exterior angles)
  • Name a polygon by its number of sides/angles/vertices
  • Use vocabulary including exterior angle, interior angle, remote interior angles, vertex angle, base angles, legs, and base)
  • Understand and apply the Isosceles Triangle Theorem (and converse) to find missing angle and side measures of an isosceles triangle
  • Prove that a triangle is isosceles
  • Understand and apply the fact that an equilateral triangle is equiangular (and converse)
  • Order the sides and/or angles of a triangle from least to greatest
  • Determine whether a given set of side lengths can create a triangle
  • Determine the range of possible side lengths for the third side of a triangle given the other two
  • Understand and apply the Hinge Theorem to compare the side/angle measures of two triangles
  • Construct the perpendicular bisector and angle bisectors of a triangle
  • Understand and apply the Angle Bisector Theorem and Perpendicular Bisector Theorem to find missing measure
  • Find unknown interior and exterior angle measures of convex polygons 
  • Use vocabulary including convex, concave, and regular in reference to polygons

**Bold topics have already been covered in class

  • HG Unit 4 Review Packet
  • HG Unit 4 Review Questions Answers
  • HG Extra Unit 4 Questions (with answers)

HG Unit 3 - Angles

Topics in Unit 3 - Angles

  • Use vocabulary including ray, angle, vertex, congruent, bisect, and perpendicular
  • Name and/or draw a ray
  • Find the measure of an angle using a protractor
  • Identify the vertex and sides of an angle and name the angle three different ways
  • Determine the location of a point with respect to an angle (interior, exterior, or on an angle)
  • Classify an angle as acute, obtuse, right, or straight
  • Understand and apply the Angle Addition Postulate
  • Use algebra to find missing measures of angles
  • Identify and use angle relationships including vertical angles, linear pair, adjacent angles, congruent angles, complementary angles, and supplementary angles
  • Prove facts involving Angle Addition Postulate, angle bisector, and other basic angle relationships
  • Identify and use angle relationships including corresponding angles, alternate exterior angles, alternate interior angles, same-side interior angles, transversal, parallel lines, skew lines, and intersecting lines
  • Construct angle bisectors, congruent angles, and parallel lines
  • Prove facts involving angles and parallel lines

**All bold topics have already been covered in class

p.35 #1-36, 39, 45;   p.45 #1-22;    p.129 #1-15      p.145 #12-19, 24-35, 41-47       p.152 #1-30         p.175 #1-20, 23-26

  • HG Objects in Geoemtry Reference Sheet
  • HG Angles Reference Sheet
  • HG Warm-up with Angle Measures
  • HG Warm-up with Angle Measures Answers
  • HG Practice with Bisectors, Complements, and Supplements Answers
  • HG Angle Relationships Reference Sheet
  • HG 3.2 Parallel Lines and Transversals Practice
  • HG 3.2 Parallel Lines and Transversals Answers
  • HG Big Angle Diagram Practice
  • HG Big Angle Diagram Answers
  • HG Unit 3 Review Problems
  • HG Unit 3 Review Answers
  • HG Unit 3 Angle Proof Practice Packet
  • HG Unit 3 Angle Proof Practice Answers

HG Unit 2 - Segments

Topics in Unit 2 - Segments

  • Name a segment
  • Use vocabulary including line segment, endpoints, midpoint, between, congruent, bisect, and equidistant
  • Find the measure of a segment using a ruler (in, cm, mm) and a grid
  • Understand and apply the Segment Addition Postulate
  • Use algebra to find missing measures of segments
  • Use the midpoint formula to find the midpoint of points on a number line and/or coordinate plane
  • Use the midpoint formula to find the missing endpoint given an endpoint and the midpoint
  • Write a proof to prove facts involving line segments
  • Find the perimeter of a polygon or composite figure
  • Find the distance between a point and a line
  • Use a compass and straight-edge to construct a segment bisector and model Segment Addition Postulate

Exercises in Book: (all odd answers are in the back of the book)

p.17 #1-3, 7-15, 22-39, 52, 53; p.25 #1-3, 5, 16, 29-50, 58, 59, 64-77; p.114 #1-4, 20; p.121 #1-3, 6-10, 16, 23-26

Assignments from this Unit:

  • HG Adding Fractions Practice
  • HG Practice with Segment Measures
  • HG Practice with Segment Measures Answers
  • HG Practice with Segments and Equations
  • HG Practice with Segments and Equations Answers
  • HG Midpoint Practice
  • HG Midpoint Practice Answers
  • HG Warm-up with Models
  • HG Warm-up with Models Answers
  • HG Segment Equations and Midpoints QC Answers
  • HG Segment Jigsaw Proof Questions
  • HG Segment Jigsaw Puzzle Answers
  • HG Proving Segment Relationships Practice
  • HG Proving Segment Relationships Practice Answers
  • HG Extra Segment Proof Practice
  • HG Extra Segment Proof Practice Answers
  • HG Unit 2 Review Packet
  • HG Unit 2 Review Answers

HG Unit 1 - Basics of Geometry

Topics in Unit 1: Basics of Geometry

  • Name points, lines, and planes
  • Model situations involving points, lines, and planes
  • Use vocabulary including collinear, noncollinear, coplanar, conjecture , intersect, parallel, between, and perpendicular
  • Make a conjecture about the next item in a sequence.
  • Write a conditional statement in if-then form and identify the hypothesis and conclusion
  • Write the converse, inverse, and contrapositive of a conditional statement
  • Determine if a conjecture if true or false (and provide a counterexample if false)
  • Recognize Reflexive, Symmetric, and Transitive properties
  • Complete an Algebraic Proof (citing the "Reasons")

**All bold concepts have already been covered in class.

Assignments:

Due 8/31: Add yourself to the Google Classroom and submit answers to the posted questions ... Class Code:  v48omk

Due 9/5: Complete "Points and Lines Practice" and "Intersecting Planes Activity"

Due 9/7: Submit definitions for each of the related conditional statements through the Google Classroom

Due 9/12: Complete the "Practice with Algebraic Properties" and "Unit 1 Review Packet"

Extra Textbook Questions for Unit 1: (all odd answers are in the back of the textbook)

p.9 #1-34;  p.80 #1-2, 4, 7-18, 26, 27, 29, 31-35, 37, 38;  p.88 #25-31, 42-47; p.94 #1-47, 49, 70-72; p.101 #3-5, 9-12, 17, 21, 25, 26;  p.108 #17-20;  p.114 #1, 2, 4, 6, 8-20, 22-26, 36-42

  • HG Points and Lines Practice
  • HG Points, Lines, and Planes Practice
  • HG Points, Lines, and Planes Practice Answers
  • HG Warm-up #1 with Hearts
  • HG Warm-up #1 with Hearts Answers
  • HG Inductive Reasoning Practice
  • HG Inductive Reasoning Practice Answers *#3 should say -192
  • HG Conditional Statements Practice
  • HG Conditional Statements Practice Answers
  • HG Practice with Deductive Reasoning
  • HG Practice with Deductive Reasoning Answers
  • HG Practice with Algebraic Properties
  • HG Practice with Algebraic Properties Answers
  • HG Unit 1 Review Questions
  • HG Unit 1 Review Questions Answers
  • HG More Algebraic Proof Practice (with Answers) Difficult proof questions like today's class
  • HG Unit 1 Test from 2017
  • HG Unit 1 Test from 2017 Answers

Course Information

  • Honors Geometry Course Expectations
  • Classroom Rules
  • Last Updated: Feb 8, 2021 2:44 PM
  • URL: https://sau57.org/tecce

Free Printable Math Worksheets for Geometry

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  • Review of equations
  • Simplifying square roots
  • Adding and subtracting square roots
  • Multiplying square roots
  • Dividing square roots
  • Line segments and their measures inches
  • Line segments and their measures cm
  • Segment Addition Postulate
  • Angles and their measures
  • Classifying angles
  • Naming angles
  • The Angle Addition Postulate
  • Angle pair relationships
  • Understanding geometric diagrams and notation
  • Parallel lines and transversals
  • Proving lines parallel
  • Points in the coordinate plane
  • The Midpoint Formula
  • The Distance Formula
  • Parallel lines in the coordinate plane
  • Classifying triangles
  • Triangle angle sum
  • The Exterior Angle Theorem
  • Triangles and congruence
  • SSS and SAS congruence
  • ASA and AAS congruence
  • SSS, SAS, ASA, and AAS congruences combined
  • Right triangle congruence
  • Isosceles and equilateral triangles
  • Midsegment of a triangle
  • Angle bisectors
  • The Triangle Inequality Theorem
  • Inequalities in one triangle
  • Classifying quadrilaterals
  • Angles in quadrilaterals
  • Properties of parallelograms
  • Properties of trapezoids
  • Properties of rhombuses
  • Properties of kites
  • Areas of triangles and quadrilaterals
  • Introduction to polygons
  • Polygons and angles
  • Areas of regular polygons
  • Solving proportions
  • Similar polygons
  • Using similar polygons
  • Similar triangles
  • Similar right triangles
  • Proportional parts in triangles and parallel lines
  • The Pythagorean Theorem and its Converse
  • Multi-step Pythagorean Theorem problems
  • Special right triangles
  • Multi-step special right triangle problems
  • Trig. ratios
  • Inverse trig. ratios
  • Solving right triangles
  • Multi-step trig. problems
  • Rhombuses and kites with right triangles
  • Trigonometry and area
  • Identifying solid figures
  • Volume of prisms and cylinders
  • Surface area of prisms and cylinders
  • Volume of pyramids and cones
  • Surface area of pyramids and cones
  • More on nets of solids
  • Similar solids
  • Arcs and central angles
  • Arcs and chords
  • Circumference and area
  • Inscribed angles
  • Tangents to circles
  • Secant angles
  • Secant-tangent and tangent-tangent angles
  • Segment measures
  • Equations of circles
  • Translations
  • Reflections
  • All transformations combined
  • Sample spaces and The Counting Principle
  • Independent and dependent events
  • Mutualy exclusive events
  • Permutations
  • Combinations
  • Permutations vs combinations
  • Probability using permutations and combinations
  • Line segments
  • Perpendicular segments
  • Medians of triangles
  • Altitudes of triangles
  • Skip to main content

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This curriculum includes 940+ pages of instructional materials (warm-ups, guided notes, homework assignments, quizzes, unit tests, review materials, a midterm exam, a final exam, spiral reviews, and many other extras) for Geometry.

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Homework 6 Angle Relationships

Displaying top 8 worksheets found for - Homework 6 Angle Relationships .

Some of the worksheets for this concept are Angle relationships, Grade 6 geometry work, Infinite geometry, Angle relationship practice, Unit 6 grade 7 geometry, Angle relationships answer key, Mathlinks grade 8 student packet 12 lines angles and triangles, Angle relationships in circles homework answers.

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1. Angle Relationships

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IMAGES

  1. Angle Relationships Homework 6 Answer Key

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  2. Lesson 8-4 Angle Relationships Answer Key

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  3. Unit 6 Relationships In Triangles Gina Wision / Gina Wilson All Things

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  4. Homework 4 Angle Addition Postulate

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  5. Angle Relationships Homework 4 Answer Key

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  6. Angle Pair Relationships Worksheet Answer Key

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VIDEO

  1. HGEO 9 3 Homework Solutions

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  5. Unit 6, Step 6, Ex. 6 / ГДЗ. 4 класс. Учебник Rainbow English. 2 часть

  6. Geometry 1.4 National 5 Relationships Unit Assessment Practice

COMMENTS

  1. HW #3

    HW #3 - Angle Relationships Answer Key - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This 2-page document contains 17 geometry problems involving finding missing angle measures. The problems involve equations relating angle measures using variables like x and y. Several problems provide two angle measures and ask to find a third based on the information given ...

  2. PDF EXTERIOR ANGLES OF TRIANGLES

    n the triangle. t,exterior angle.Z-4 is anRemote interior angles are the two interior angles that are not adjacent to, or. ouching, the exterior angle. For example, in the picture above, i. the exterior angle, and andar. the remote interior angles.1. Triangle ABC is shown below. Is there enough information to find the measure of the exterior ...

  3. Geometry Unit 6 (similarity) Flashcards

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  23. Unit 1: Geometry Basics Homework 3: Angle Relationships

    3) Geometry is a branch of mathematics that deals with the measurement of lines and angles. From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true: y = 107° (vertically opposite angle) The sum of z and 107 is supplementary. Hence; z + 107 = 180. z = 180 - 107.