Find the ratio of a side length in △RST to its corresponding side length in △LMN.
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question focuses on the concept of ratios in similar shapes. The core task is to determine the ratio of corresponding side lengths between two similar triangles, △RST and △LMN.
Key Concept Explanation
For similar triangles (△RST ~ △LMN), the ratios of corresponding side lengths are equal. That is, .
Step - by - Step Solution
Let's take the pair of corresponding sides in △RST and in △LMN.
The ratio of the side length in △RST to its corresponding side length in △LMN is .
We can verify with other side pairs. For and
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