Find missing side lengths in similar figures. Find scale factor between similar figures.
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In this lesson, students apply the concept of scale factor to determine if shapes are similar with proportional corresponding sides.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example) and Anchor Problem 2 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.
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Two triangles are shown below. The measure of angle $$A$$ is equal to the measure of angle $$D$$. (Figures are not drawn to scale.)
Are triangles $${{ABC}}$$ and $${{EFG}}$$ similar? Explain your answer.
Sketch a triangle that is similar to either triangle $${{ABC}}$$ or triangle $${{EFG}}$$. Label the side lengths.
Triangle $${{ABC}}$$ is similar to triangle $${{ADE}}$$. The measure of $${\overline{AB}}$$ is approximately $${3.16}$$.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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In the diagram below, you have triangle $${ABC}$$ and triangle $${A'B'C'}$$. Based on the information given, are the two triangles similar? Explain your answer.
Grade 8 Mathematics > Module 3 > Topic B > Lesson 11 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.In the diagram below, triangle $${ABC}$$ is similar to triangle $${DEF}$$. Use the information to answer the two parts below.
Grade 8 Mathematics > Module 3 > Topic B > Lesson 11 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.?