Question

In the figure, E is the midpoint of AB and CD, and AB =CD. Write a paragraph proof to prove that AE = ED.Given:Prove:Proof:

Answer 1

Given:

E is the midpoint of AB

E is the mispoint of CD

AB=CD

Prove:

AE = ED

Proof:

If E is midpoint of AB, then AE=AB/2.

If E is midpoint of CD, then ED=CD/2.

If AB=CD, then

AE=AB/2=CD/2=ED