Geometry

Question Analysis

This question applies the SSS (Side - Side - Side) Triangle Similarity Theorem. The core task is to check if the ratios of corresponding sides of the two triangles are equal. We need to identify the corresponding sides accurately and then calculate and compare their ratios.

 

Key Concept Explanation

The SSS Triangle Similarity Theorem posits that if the ratios of the lengths of the corresponding sides of two triangles are the same, then the two triangles are similar. When determining corresponding sides, we often rely on the relative positions of the sides in the triangles.

 

Step - by - Step Solution

1. Assume and . Let's find the ratios of corresponding sides.

Suppose , , in , and , , in

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