Geometry

Question Analysis  

This question involves the SSS Triangle Similarity Theorem. The main focus is to determine if the ratios of corresponding sides of △BCD and △EFG are equal, considering both vertex order and proportionality.  

 

Key Concept Explanation:  

The SSS Similarity Theorem states that two triangles are similar if the ratios of all three pairs of corresponding sides are identical. Corresponding sides are determined by vertex order (e.g., △BCD vs. △EFG implies , , ).  

 

Step-by-Step Solution:  

1. List side lengths with given vertex correspondence:  

△BCD: , ,  

△EFG: , ,  

2. Calculate ratios of corresponding sides (as per vertex order):  

 

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