Geometry

Question Analysis

This question is about determining if  and  are similar using the SAS (Side - Angle - Side) Triangle Similarity Theorem. We need to check if the ratios of the corresponding sides that include the equal angles () are equal.

 

Key Concept Explanation

The SAS (Side - Angle - Side) 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.

 

Step - by - Step Solution

1. Identify the corresponding sides and the equal angle:

In , the sides including  are  and .

In , the sides including  are  and .

The equal angle is .

2. Calculate the ratios of the corresponding sides:

Calculate

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