Topics
9. Dilations & Similarity
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United States of America
Grade 8

Topic Review: Dilations and similarity

Lesson
Practice

Introduction

We've just finished the chapter on Dilations and Similarity. Let's do a review to ensure we have mastered each topic.

Dilations and Similarity

In this chapter we covered the following topics:

  •  Identify similar polygons 
  •  Dilations 
  •  Similarity and transformations 
  •  Triangles and angle angle (AA) similarity 
  •  Slope and similar triangles 

Outcomes

8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

8.G.A.3

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

8.G.A.5

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

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