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 common angle  are equal. We need to identify the corresponding sides and calculate their 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,  is common to both  and , and we need to check the proportionality of the sides including this angle.

 

Step - by - Step Solution

1. Identify the sides including the equal angle:

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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