Answer:
This quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.
Step-by-step explanation:
To prove this quadrilateral is a parallelogram you want to show that the opposite sides are parallel by finding the slopes of each. Which means the parallel lines have to have the same slopes if it is a parallelogram.
To find slope we use M= Y1-Y2/X1-X2
Lets start with A and B
M=7-8/2-(-2)
so M= -1/4 for Line AB
Now lets find C and D
M=2-1/1-5
so M=-1/4 for line CD
So this quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.
