Geometry

Question Analysis

This question focuses on applying the Triangle AA (Angle - Angle) Similarity Postulate. The key task is to check if there are two pairs of congruent angles between the two triangles  and  to determine their similarity.

 

Key Concept Explanation

The AA (Angle - Angle) 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 always , when two pairs of angles are equal, the third pair is also equal by default.

 

Step - by - Step Solution

1. We know that  (both marked with one arc) and  (marked with different number of arcs,