SOLUTION: The points (-4, -3), (1,4), (4, 2) and (-1, -5) are vertices of a quadrilateral. Use slopes to explain why the quadrilateral is a parallelogram.

Algebra ->  Coordinate-system -> SOLUTION: The points (-4, -3), (1,4), (4, 2) and (-1, -5) are vertices of a quadrilateral. Use slopes to explain why the quadrilateral is a parallelogram.      Log On


   

Question 916718: The points (-4, -3), (1,4), (4, 2) and (-1, -5) are vertices of a quadrilateral. Use slopes to explain why the quadrilateral is a parallelogram.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:

Let's label the points A,B,C,D

A = (-4, -3)
B = (1,4)
C = (4, 2)
D = (-1, -5)

If you can show that segment AB is parallel to segment CD

AND

If you can show that segment BC is parallel to segment AD

then ABCD is a parallelogram. Use the slope formula m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 to calculate the slopes.