Geometry

Question Analysis

This question is about applying the SAS (Side - Angle - Side) Triangle Similarity Theorem. The main focus is to check if the ratios of the corresponding sides that include the equal angles are equal. We need to identify the corresponding sides and the included angles correctly, then calculate and compare the side - length ratios.

 

Key Concept Explanation

The SAS Triangle Similarity Theorem states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the two triangles are similar. Here, we have equal angles (), and we need to check the ratio of the sides including these angles.

 

Step - by - Step Solution

1. Identify the sides including the equal angles:

In , the sides including  are  and .

In , the sides including  are  and .

2. Calculate the ratios of the corresponding sides:

Calculate .

Calculate

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