Final answer:
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.