rsm geometry homework answers

• Mathematics
• Middle School

RSM HOMEWORK HELP!!!!!

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Step-by-step explanation:

Here's another way to solve this problem.

Start with congruent alternate interior angles of parallel lines AE and BC making m<C = x.

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Angle ADB is an exterior angle of triangle BCD.

By the theorem above, we have

m<ADB = m<DBC + m<DCB

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Building Powerful Minds Through Mathematics

For over twenty-six years, our award-winning k-12 after-school math program has delivered knowledge and abilities that empower our students to achieve excellence in math., news and events, math classes are now enrolling for fall 2024.

What is RSM Online?

The Russian School of Math is an award-winning after-school math program. We guide our students to think about mathematics logically and conceptually, building deep connections between concepts, all in a classroom environment of their peers that keeps them consistently challenged.

Our unique online program mirrors that of our physical locations. Expert teachers conduct live and interactive classes on our proprietary video-conferencing platform. RSM Online is open to students in grades 2 - 10.

Peek Into an RSM Online Classroom

Our Programs

Designed as a long-term program with multiple levels for every grade, from beginner to competition, our approach develops each student to their utmost ability.

Our Schedule

After-school math classes at RSM Online meet anywhere from 1.5 to 4 hours per week, depending on the grade level. Learn more about the classes RSM is offering for the 2024-2025 school year.

Submit this form and we'll email you a PDF of tuition costs by grade. Questions? Please contact our office directly and we'll be happy to assist you.

Our Results

Our students post remarkable scores on math competitions, in school, and see a greater confidence in their math and learning abilities overall. Our alumni go on to attend the best universities in the world.

What are others saying?

Wonderful academic institution! The teachers are experienced, patient, and knowledgeable. I would strongly recommend this school to anyone interested in advancing and/or improving their child's knowledge of mathematics and confidence in problem-solving.

Excellent school that promotes critical and analytical thinking through a thoroughly designed curriculum while instilling positive habits of persistence, commitment and grit.

RSM regrouped immediately and provided seamless transition to a virtual classroom. RSM’s online classes took nothing away from the “live” experience: real-time lively interaction with exchange of ideas and opportunity to have students’ questions answered.

Our Leadership .a8dbdfbd-1cd0-41e5-8997-69451ee6ac13 { fill: #fff; } .a00d7ced-24b3-4d0b-8701-8bc3c1a6041e, .a8dbdfbd-1cd0-41e5-8997-69451ee6ac13 { fill-rule: evenodd; } .a00d7ced-24b3-4d0b-8701-8bc3c1a6041e { fill: #007698; } .fce388ab-2d4c-4b84-9077-c3ea3d3d0a36 { mask: url(#e8bbfff7-9580-4716-b403-c0683962d7df); } .bdeb213a-3b52-41ec-92ce-11d572748786 { fill: #bebebe; } icon.dropdownGrey

Dmitriy Kondrakhin - Campus Principal, High School

B.S. Mathematics, University of New Hampshire

Ian Nelson - Campus Principal, Middle School

B.A. in Economics and Minor in Mathematics, UMass Amherst

Irina Astashkevich - Campus Principal, Upper Elementary School

Ph.D., Brandeis University, Waltham, MA.

Anzhelika Vladimirskaya - Campus Principal, Lower Elementary School

MS in Economics, Plekhanov Russian University of Economics

Frequently asked questions

How does your online classroom work.

Our online classes are exactly like our physical classes. A teacher conducts a live and interactive lesson in a classroom of students according to our unique curriculum and methodology. The one difference is that instead of sitting at their desk, the student is sitting at home. But just like a physical classroom, students can hear and see one another as well as their teacher.

What is the earliest age a student can enroll in RSM Online?

We welcome students in grades 2 - 10.

Why are you called the "Russian" School of Math?

The “Russian” comes from our approach - which is based on elite math schools in the former Soviet Union, adapted to the U.S. environment. According to Russian tradition - the study of mathematics is the pre-eminent tool of mental development. We teach math in a way that not only builds mathematical excellence, but also develops intellect and character.

Where does your curriculum come from?

We offer one continuous curriculum, from grades 2-10. Our curriculum and methodology, perfected over 20 years by our team of gifted academics, is inspired by elite mathematical schools in the former Soviet Union, adapted for the American educational environment.

How long are your classes? Can an elementary school child sit that long?

Our class-times vary depending on a child’s age. Starting anywhere from 1.5 hours for younger students to 2-4 hours in high school. In the younger grades, we regularly mix activities and work with manipulatives to keep students engaged.

How much homework should I expect?

The goal of homework is to reinforce what was taught in class. Our teachers assign just enough to strengthen the skills developed in class. Homework is an excellent tool for you to gauge your child’s learning. It should take approximately half the length of your child’s lesson to complete. If the homework takes an unreasonably long or short amount of time, that may be a red flag indicating that your child is not in an appropriate level.

Who are your teachers?

All of our teachers have a background in mathematics or a related field and have a passion for the subject. They also go through extensive training to teach according to our specific methodology and curriculum.

What is the best age to join?

It takes many years to develop a deep mathematical foundation as well as the type of mindset we focus on building. With mathematics, as with a language or a sport, the earlier a child starts the better. Our students begin to reason with abstract concepts in elementary school, and by middle school they are not only familiar with essential elements of algebra but can easily apply them in problem solving.

Is High School too late for my child to begin your program?

Though we believe it is best to begin mathematical training early, high school is not too late to start our program. During your evaluation, the principal will discuss you goals with you and your child, and explain how our program can help you meet them.

What is your tuition?

Please submit the tuition request form above and we will automatically email you a pdf with our tuition costs by grade.

Is your program right for my child?

We have designed multiple levels for every grade specifically to be able to serve each child's development based on his or her knowledge and ability. We recommend scheduling a free evaluation, as these sessions enable us to get a sense of each child's needs and recommend a class that is best suited to him or her.

Will your program confuse my child in school?

The concepts that we cover are fundamental and we study them in depth. Children see concepts from a variety of different angles. This doesn’t lead to confusion but rather empowers students by deepening their understanding. Since our curriculum is generally ahead of public school, children will often first learn concepts at RSM. Once they master them, we find they can adapt to any school format.