Question

"Given: E is the midpoint of AC, DE - EC
Prove: DE 2 AE

Answer 1

To prove DE = 2AE, we use the given information that E is the midpoint of AC and substitute AE for EC.

Step-by-step explanation:

To prove DE = 2AE, we need to use the given information that E is the midpoint of AC. Let's draw a diagram to visualize the problem:

Diagram:

A-------------E------C

Now, since E is the midpoint of AC, we have:

AE = EC

Given that DE - EC, we can substitute AE for EC to get:

DE - AE

If we rearrange the equation, we have:

DE = 2AE

Therefore, DE is indeed twice the length of AE, as required.