Question

Write a paragraph proof.
Given: AC & EC and BC & DC
Prove: AB ~ ED

Answer 1

Explanation:

1. AC ≅ EC 1.Given

2. ∠ACB ≅ ∠ECD 2. Vertically opposite angles are congruent.

3. BC ≅ DC 3. Given

4.ΔACB ≅ Δ ECD 4. Side Angle Side Congruent

5. AB ≅ ED 5. CPCT {Corresponding part of congruent triangles}