SOLUTION: Parallelogram ABCD has vertices at A(-1,x-1), B(x,x+1), C(3,1), and D(x-2,-1). Use the slopes of line AB and line CD to find X.

Question 62019This question is from textbook
: Parallelogram ABCD has vertices at A(-1,x-1), B(x,x+1), C(3,1), and D(x-2,-1). Use the slopes of line AB and line CD to find X. This question is from textbook

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Parallelogram ABCD has vertices at A(-1,x-1), B(x,x+1), C(3,1), and D(x-2,-1). Use the slopes of line AB and line CD to find X.
AB||CD
SLOPE OF AB = SLOPE OF CD
[{(X+1)-(X-1)}/(X+1)]=[{-1-1}/{(X-2)-3}]
2/(X+1)=-2/(X-5)
X-5+X+1=0
2X=4
X=2

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