112482
AssignmentMultiple Choice

Triangle Similarity: AA

Question 112482 • *CR CCSS Math 2 S2 [M2960OX]

Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

Answer
A
△ABC is an acute triangle.
B
△TRS is larger than △ABC.
C
The sum of the measures of the interior angles of a triangle is 180°.
D
The sum of the side lengths of two sides of a triangle is greater than the third side length.

Explanation

The AA similarity theorem works when two pairs of corresponding angles are congruent. If the proof establishes two angle pairs, the fact that each triangle’s interior angles sum to 180° can show that the remaining angles are congruent as well. Thus, the necessary fact is that the sum of a triangle’s interior angles is 180°.

AI-written and checked against the verified answer.

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