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9. Similarity
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United States of America
Grades 9-12

9.02 Similarity transformations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Decide if the following conjectures are true or false:

a

"All rectangles are similar."

True

A

False

B
b

"All squares are similar."

True

A

False

B
Easy
1min

Decide if the following conjectures are true or false:

Easy
1min

Consider the following conjecture: Two triangles are similar if their corresponding angles are congruent.

Easy
1min

The smaller quadrilateral has been reflected, then enlarged and finally rotated.

Easy
1min
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Outcomes

G.CO.A.2

Represent transformations in the plane using, e.g. Transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g. Translation versus horizontal stretch).

G.SRT.A.2

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

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