Answer: c) AD = 4 and AE = 2
Step-by-step explanation:
To prove that DE = (1/2) BC, we need to use a proportion that shows that AB = (1/2)AC and AE = (1/2)AD
We are given that AB = 8 and AC = 4 so we need AE = (1/2)AD
a) AD = 4, AE = 8
8 = (1/2)4
8 = 2 FALSE
b) AD = 2, AE = 4
4 = (1/2)2
4 = 1 FALSE
c) AD = 4, AE = 2
2 = (1/2)4
2 = 2 TRUE!
d) AD = 2, AE = 2
2 = (1/2)2
2 = 1 FALSE