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7. Similarity
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United States of AmericaTennessee
Geometry

7.03 Justifying triangle similarity

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the triangles below.

a

Which two of these triangles are similar?

A

B

C

D
b

Give a suitable reason for your choice.

All corresponding sides are congruent.

A

All corresponding angles are congruent.

B

All sides are in the same ratio.

C
Easy
1min

Consider the triangles below.

Easy
< 1min

The pair of triangles in the diagram already have one pair of angles identified as being equal.

Easy
< 1min

Consider the diagram below.

Easy
< 1min
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Outcomes

G.CO.A.1

Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.

G.SRT.A.1

Use properties of dilations given by a center and a scale factor to solve problems and to justify relationships in geometric figures.

G.SRT.A.2

Define similarity in terms of transformations. Use transformations to determine whether two figures are similar.

G.SRT.B.3

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.

G.MP1

Make sense of problems and persevere in solving them.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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