Question

Prove BE is equal DF write in two column proof

Answer 1

We need to prove that

$BE\cong DF$

In order to do so, let's complete the table with the statements and respective reasons.

Statement Reason

1. AB ≅ CD Given

2. AE ≅ CF Given

3. ∠1 ≅ ∠2 Alternate interior angles formed by

parallel segments AB || CD and a transversal

4. ΔABE ≅ ΔCDF Postulate Side-Angle-Side

Conclusion: BE ≅ DF Corresponding sides of congruent triangles ΔABE ≅ ΔCDF