Geometry

Question Analysis  

This question involves the SSS Triangle Similarity Theorem. The main focus is to determine if the ratios of corresponding sides of △BCE and △JKL 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 must be matched based on vertex order (e.g., △BCE vs. △JKL implies , , ).  

 

Step-by-Step Solution:  

1. List side lengths with given vertex correspondence:  

△BCE: , ,  

△JKL: , ,  

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

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