IA1.GR.B.3: Apply triangle congruence theorems (SSS, SAS, ASA, AAS, HL) to reason logically about geometric diagrams, including verifying congruence and solving for unknown measures.

Apply triangle congruence theorems (SSS, SAS, ASA, AAS, HL) to reason logically about geometric diagrams, including verifying congruence and solving for unknown measures.

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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