Question

Which of the following is not a test of similarity?

Options

• AAA

• SAS

• SAA

• SSS

Answer 1

SAA

Explanation:

(A) AAA (Angle-Angle-Angle): Valid similarity test. If all three corresponding angles are equal, the triangles are similar.

(B) SAS (Side-Angle-Side): Valid similarity test. If two corresponding sides are proportional and their included angles are equal, the triangles are similar.

(C) SAA (Side-Angle-Angle): Not a similarity test. This is typically used as a congruence criterion (AAS) rather than a similarity test.

(D) SSS (Side-Side-Side): Valid similarity test. If all three corresponding sides are proportional, the triangles are similar.