Geometry

Question Analysis

This question pertains to the application of the SAS (Side - Angle - Side) Triangle Similarity Theorem. The core task is to determine if the ratios of the corresponding sides that include the equal angles in and are equal. We must accurately identify the relevant sides and angles and then compute and compare the side - length ratios.

 

Key Concept Explanation

The SAS Triangle Similarity Theorem posits 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 , and we need to check the proportionality of the sides enclosing 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

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