Geometry

Question Analysis

This question utilizes the SSS (Side - Side - Side) Triangle Similarity Theorem. The main focus is to check if the ratios of the corresponding sides of  and  are equal. We need to accurately identify the corresponding sides based on the order and then calculate and compare their ratios.

 

Key Concept Explanation

The SSS Triangle Similarity Theorem posits that two triangles are similar if the ratios of the lengths of their three pairs of corresponding sides are the same. When dealing with triangles, we match sides according to their relative positions and the order of vertices.

 

Step - by - Step Solution

1. List the side lengths of the two triangles:

In , , , .

In , , ,

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