Question Analysis
This question involves the SSS Triangle Similarity Theorem. The main focus is to determine if the ratios of all corresponding sides of △CDE and △FGH are equal, following the given vertex order.
Key Concept Explanation:
The SSS (Side-Side-Side) Similarity Theorem states that two triangles are similar if the ratios of their three pairs of corresponding sides are identical. Corresponding sides are matched by vertex order (e.g., △CDE ~ △FGH implies , , ).
Step-by-Step Solution:
1. List side lengths with given vertex correspondence:
△CDE: , ,
△FGH: , ,
2. Calculate ratios of corresponding sides: