Geometry

Question Analysis

This question is about using the Triangle AA (Angle - Angle) Similarity Postulate to check if and are similar. The key is to find two pairs of congruent angles in the two triangles.

 

Key Concept Explanation

The AA Similarity Postulate says that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. This is because the sum of the interior angles of a triangle is always , so when two pairs of angles match, the third pair must also be the same.

 

Step - by - Step Solution

1. First, find in :

Using the angle - sum property of a triangle (), . Given and , then .

2. Now, compare the angles:

We see that

Click "Show Answer" to reveal the answer and analysis