Geometry

Question Analysis  

This question involves the SSS Triangle Similarity Theorem. The main focus is to verify if the ratios of corresponding sides (based on given vertex labels, not just side lengths) are equal.  

 

Key Concept Explanation:  

The SSS Similarity Theorem requires exact correspondence of vertices when comparing side ratios. For △STU and △DEF, the correspondence is:  

, , .  

 

Step-by-Step Solution:  

1. List the side lengths with given vertex correspondence:  

△STU: , ,  

△DEF: , ,  

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

 

 

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