G.SRT.A.3: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

Example Problems

What are the angle measures in a triangle whose three sides each have a length of

1

unit? Explain.

a. For which acute angles

a

is

\sin a = \cos a

? Explain.

b. For which acute angles

a

is

\sin a = \cos 2a

? Explain.

What are the approximate angle measures of the three angles in a triangle whose side lengths are

2

,

3

, and

4

units respectively?

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