Geometry

Question Analysis

This question is about using the Triangle AA (Angle - Angle) Similarity Postulate to decide if  and  are similar. The main point is to see if there are two pairs of corresponding angles that are congruent.

 

Key Concept Explanation

The AA Similarity Postulate says that if two angles of one triangle match two angles of another triangle, then the two triangles are similar. Because the sum of the angles in a triangle is always , when two pairs of angles are the same, the third pair will also be the same, which means the triangles have the same shape (but not necessarily the same size).

 

Step - by - Step Solution

1. Analyze angles in :

Since ,  is isosceles. So . Then .

2. Analyze angles in :

 and  are vertical angles, so

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