Which of the following is NOT a way you can show that triangles are similar?

A.AAA similarity
B.SAS similarity
C.SSA similarity
D.SSS similarity

To determine which of the given options is NOT a way to show that triangles are similar, we need to understand what each of the acronym stands for:

A. AAA similarity: This stands for Angle-Angle-Angle similarity. Two triangles are similar if all three corresponding angles are congruent.
B. SAS similarity: This stands for Side-Angle-Side similarity. Two triangles are similar if one pair of corresponding sides are proportional, and the included angles are congruent.
C. SSA similarity: This stands for Side-Side-Angle similarity. Two triangles may or may not be similar if two pairs of corresponding sides are in proportion, and the angle between the two pairs of proportional sides is congruent.
D. SSS similarity: This stands for Side-Side-Side similarity. Two triangles are similar if the lengths of all three pairs of corresponding sides are proportional.

Based on this information, we can conclude that the option that is NOT a way to show that triangles are similar is C. SSA similarity. The SSA postulate does not guarantee similarity, as the two triangles may not be congruent.

Therefore, the correct answer is C.

C. SSA similarity is NOT a way you can show that triangles are similar.