Question

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

segment EF over segment LM equals segment FG over segment MN
segment EF is congruent to segment LM
segment EF over segment LM equals segment EG over segment LM
segment EG is congruent to segment LM

Answer 1

segment EF over segment LM equals segment FG over segment MN

Answer 2

segment EF over segment LM equals segment FG over segment MN

Explanation:

The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.

The sequence of letters in the triangle name tells you the corresponding segments:

• EF corresponds to LM
• EG corresponds to LN
• FG corresponds to MN

Corresponding segments have the same ratio, so ...

EF/LM = FG/MN . . . . . . matches the first answer choice

EF/LM = EG/LN . . . . does not match the 3rd answer choice