Geometry

Question Analysis

This question focuses on the application of the SSS (Side - Side - Side) Triangle Similarity Theorem. The core task is to determine whether the ratios of the corresponding sides of and are equal. We must correctly identify the corresponding sides and then compute and compare their ratios.

 

Key Concept Explanation

The SSS Triangle Similarity Theorem asserts that if the ratios of the lengths of the three pairs of corresponding sides of two triangles are identical, then the two triangles are similar. When dealing with right - angled triangles, we typically match sides based on their relative lengths and positions.

 

Step - by - Step Solution

1. List the side lengths:

In , , , .

In , , , .

2. Calculate the ratios of corresponding sides:

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