Question

Write a two-column proof.
4. Given: AB EF
AC DF
Prove: ABC ~ FED
Please help

Answer 1

Step-by-step explanation:

The following is a proof that ∆ABC ~ ∆FED.

Statement . . . . Reason

1. AB║EF, AC║FD . . . . given

2. ∠BCA ≅ ∠EDF . . . . alternate exterior angles theorem

3. ∠ABC ≅ ∠FED . . . . alternate interior angles theorem

4. ∆ABC ~ ∆FED . . . . AA similarity postulate