Geometry

Question Analysis

This question focuses on applying the SAS (Side - Angle - Side) Triangle Similarity Theorem. The main task is to check if the ratios of the corresponding sides that include the equal vertical angles and are equal. We need to correctly 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, (vertical angles are equal), and we need to check the proportionality 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

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