#5

if △abc ~ △fed, which of the following statements is correct?

ab ≅ fe
bc ≅ ed
ac ~ fd
ca ~ de

AC ~ FD

Step-by-step explanation:

Given:

Two triangles Δ ABC and Δ FED are similar to each other.

When two triangles are similar then their corresponding sides are proportional to each other and their corresponding angles are congruent to each other.

Therefore, if Δ ABC ~ Δ FED, then the following statements are true:

1. AB ~ FE (AB proportional to FE)

2. BC ~ ED (BC proportional to ED)

3. AC ~ FD (AC proportional to FD)

4. ∠A ≅ ∠F

5. ∠B ≅ ∠E

6. ∠C ≅ ∠D

Now, from all the options given, only the third option matches the above result.

Therefore, the correct statement is AC ~ FD.