Question

Which of the following is NOT a triangle similarity postulate?

Group of answer choices

angle-angle similarity

side-angle-side similarity

angle-side-angle similarity

side-side-side similarity

please explain thank you

Answer 1

Answer: angle-side-angle similarity

Explanation: The standard similarity tests for triangles are
- AA (angle-angle),
- SAS (side-angle-side, meaning two pairs of sides are proportional and the included angles are equal), and
- SSS (side-side-side, meaning all three pairs of sides are proportional).

"ASA" (angle-side-angle) is a congruence postulate (if two angles and the included side are equal, the triangles are congruent), not a distinct similarity postulate. In fact if two triangles have two equal angles (AA) they are already similar, so an "ASA similarity" condition is unnecessary/not listed as a separate similarity criterion.