Question

If δefg ~ δlmn with a ratio of 2:1, which of the following is true?

Option 1: Segment ef over segment lm equals segment fg over segment mn
Option 2: Segment ef is congruent to segment lm
Option 3: Segment ef over segment lm equals segment eg over segment lm
Option 4: Segment eg is congruent to segment lm

Answer 1

The true statement is Option 3: Segment ef over segment lm equals segment eg over segment lm.

Step-by-step explanation:

The statement that is true is Option 3: Segment ef over segment lm equals segment eg over segment lm.

In a similarity ratio between two similar triangles, the ratios of corresponding sides are equal. This means that if δefg ~ δlmn with a ratio of 2:1, then the ratio of segment ef over segment lm is also 2:1. Similarly, the ratio of segment eg over segment lm is also 2:1. Therefore, Option 3 is correct.