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

Respuesta :

Answer:

  segment EF over segment LM equals segment FG over segment MN

Step-by-step 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

Answer:

segment EF over segment LM equals segment FG over segment MN