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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.

Given: D is the midpoint of AB: E is the midpoint of AC Prove: DE 1 BC Complete the-example-1

1 Answer

2 votes

Answer:

Explanation:

Slope of DE =
(y_2-y_1)/(x_2-x_1)

=
(c-c)/(a+b-b)

= 0

Slope of BC =
(y_2-y_1)/(x_2-x_1)

=
(0-0)/(2a-0)

= 0

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

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