Geometry

Question Analysis

This question focuses on the application of the Triangle AA (Angle - Angle) Similarity Postulate. The main task is to check if two pairs of corresponding angles in  and  are congruent to determine if the triangles are similar.

 

Key Concept Explanation

The AA Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Since the sum of the interior angles of a triangle is , when two angles are congruent between two triangles, the third angles are also congruent, meaning the triangles have the same shape (but not necessarily the same size).

 

Step - by - Step Solution

1. Identify the angles:

In , , , so .

In