Question

Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.

Answer 1

Answer:

Step-by-step explanation:

Slope of DE = $\frac{y_2-y_1}{x_2-x_1}$

                    =  $\frac{c-c}{a+b-b}$

                    = 0

Slope of BC = $\frac{y_2-y_1}{x_2-x_1}$

                    = $\frac{0-0}{2a-0}$

                    = 0

Therefore, DE║BC because slopes of BC and DE are equal.