Question 1163906: Show by means of slopes that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a parallelogram (a quadrilateral with opposite sides parallel).
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Show by means of slopes that the four points A(0,0), B(-2,1), C(3,4), and D(5,3) are vertices of a parallelogram.
I much prefer a mental picture over the slope formula for determining slopes of lines....
AB: from B to A is right 2, down 1
CD: from C to D is right 2, down 1
AB and CD are parallel
BC: from B to C is right 5, up 3
AD: from A to D is right 5, up 3
BC and AD are parallel
Pairs of opposite sides are parallel; ABCD is a parallelogram.
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