Geometry

Question Analysis

This question focuses on the Perimeters of Similar Shapes. The main task is to use the property that for similar triangles, the ratio of their perimeters is equal to the ratio of their corresponding side lengths to find the required ratio.

Key Concept Explanation

For similar triangles, if the ratio of corresponding side lengths is , then the ratio of their perimeters is also . This is because perimeter is a linear measurement, and similar triangles maintain a consistent proportionality for linear dimensions.

Step - by - Step Solution

1. Identify a pair of corresponding sides. Let's take  and .

Calculate the ratio: .

Verify with other pairs. For  and ,

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