Write a paragraph proof.

Question

Given: BC is congruent to EC; AC is congruent to DC
Prove: BA is congruent to ED

Segment B A is shown on the left. Segment D E is shown on the right. Segment B E intersects Segment A D at point C.

Answer 1

Statement 1: BC is congruent to EC (Given)
Statement 2: AC is congruent to DC (Given)
Statement 3: Triangle ABC ≅ Triangle DEC (Side-Side-Side Congruence)
Statement 4: BA is congruent to ED (Corresponding parts of congruent triangles are congruent)