Question

Select the postulate or theorem that you can use to conclude that the triangles are similar.

A) AA Similarity Postulate
B) SAS Similarity Theorem
C) SSS Similarity Theorem

Answer 1

Without specific side length or angle information, the AA Similarity Postulate, SAS Similarity Theorem, or SSS Similarity Theorem can be used to confirm the similarity of triangles BAO and B₁ A₁ O.

Step-by-step explanation:

To conclude that the triangles are similar, we can use one of the following postulates or theorems:

• AA Similarity Postulate: This postulate states that two triangles are similar if two angles of one triangle are congruent to two angles of the other triangle.
• SAS Similarity Theorem: This theorem says that two triangles are similar if one angle of one triangle is congruent to one angle of another triangle and the sides including these angles are in proportion.
• SSS Similarity Theorem: This states that two triangles are similar if their corresponding sides are proportional.

Since the triangles BAO and B₁ A₁ O are known to be similar triangles, either the AA Similarity Postulate, the SAS Similarity Theorem, or the SSS Similarity Theorem must apply. Without specific information about angles or side lengths, we cannot determine exactly which one applies, but they are the tools you would typically use to confirm the similarity of triangles.