Question

Which of the following is an example of triangles that satisfy the AAA or SSA criterion but are not congruent?

A) Two triangles with all three angles equal but with different side lengths.
B) Two triangles with two pairs of equal angles but with different side lengths.
C) Two triangles with all three sides equal but with different angle measures.
D) Two triangles with two pairs of equal sides but with different angle measures.

Answer 1

The correct answer is A) Two triangles with all three angles equal but with different side lengths.

Step-by-step explanation:

The correct answer to this question is A) Two triangles with all three angles equal but with different side lengths.

According to the AAA (Angle-Angle-Angle) criterion, if two triangles have all three angles equal, then they are similar but not necessarily congruent. In this case, the triangles have different side lengths, so they are not congruent.