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7. Similarity
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Geometry

7.03 Proving triangles similar

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the triangles below.

a

Which of these triangles are similar?

A

B

C

D
b

Give a suitable reason for their similarity.

All sides are in the same ratio.

A

All corresponding sides are congruent.

B

All corresponding angles are congruent.

C
Easy
< 1min

Consider the diagram below.

Easy
< 1min

Consider the diagram below.

Easy
< 1min

Consider the diagram below.

Easy
< 1min
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Outcomes

G.TR.3

The student will, given information in the form of a figure or statement, prove and justify two triangles are similar using direct and indirect proofs, and solve problems, including those in context, involving measured attributes of similar triangles.

G.TR.3a

Use definitions, postulates, and theorems (including Side-Angle-Side (SAS); Side-Side-Side (SSS); and Angle-Angle (AA)) to prove and justify that triangles are similar.

G.TR.3b

Use algebraic methods to prove that triangles are similar.

G.TR.3d

Describe a sequence of transformations that can be used to verify similarity of triangles located in the same plane.

G.TR.3e

Solve problems, including those in context involving attributes of similar triangles

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