Question

Which of the following can you use to prove that the two triangles are similar?

a. SAS Similarity Theorem
b. AA Similarity Postulate
c. SSS Similarity Theorem
d. Def. of similar triangles

Answer 1

To prove that the two triangles are similar, we can use the AA Similarity Postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Step-by-step explanation:

To prove that the two triangles are similar, we can use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In the given question, the triangles BAO and B₁A₁O are said to be similar. We can see that angle BAO is congruent to angle B₁A₁O, and angle AOB is congruent to angle A₁OB₁. Therefore, we have the necessary condition to prove the triangles are similar using the AA Similarity Postulate.

The correct answer is b. AA Similarity Postulate.