Geometry

Question Analysis

This question focuses on the concept of ratios in similar shapes. The key is to determine the ratio of corresponding side lengths between the two similar triangles, △EFG and △RST.

 

Key Concept Explanation

For similar triangles (△EFG ~ △RST), the ratios of corresponding side lengths are equal. That is, .

 

Step - by - Step Solution

Let's take the pair of corresponding sides in △EFG and in △RST.

The ratio of the side length in △EFG to its corresponding side length in △RST is .

We can verify with other side pairs. For example, and

Click "Show Answer" to reveal the answer and analysis