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 lengths of a single pair of corresponding sides.

Key Concept Explanation

For similar triangles, the ratio of corresponding side lengths is a constant value. If  is the length of a side in one triangle and  is the length of the corresponding side in a similar triangle, the ratio of corresponding sides can be expressed as  or . This ratio holds true for all pairs of corresponding sides in the two similar triangles.

Step - by - Step Solution

1. We are given that one side length  cm in the first triangle and the corresponding side length  cm in the second triangle.

2. To find the ratio of corresponding sides, we write the ratio as , which is .

3. Simplify the ratio by finding the greatest common divisor (GCD) of 12 and 18, which is 6. Divide both 12 and 18 by 6:  and

Click "Show Answer" to reveal the answer and analysis