Geometry

Question Analysis

This question focuses on the concept of ratios in similar shapes. The main task is to determine the ratio of corresponding side lengths between two similar triangles using the given side lengths of each triangle.

Key Concept Explanation

For similar triangles, the ratios of corresponding side lengths are equal. If we have two similar triangles and  are side lengths of one triangle and  are the corresponding side lengths of the other triangle, then , and this common value represents the ratio of corresponding sides.

Step - by - Step Solution

1. Take one pair of corresponding sides. Let's consider the first pair where  cm (side of the first triangle) and  cm (corresponding side of the second triangle).

Calculate the ratio .

Simplify the ratio by dividing both the numerator and the denominator by their greatest common divisor, which is 7. So, .

2. We can double - check with the second pair of corresponding sides. Here,

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