SOLUTION: quadrilateral abcd has vertices a(-3 2) b(-1 5) c(5 1) and d(3 -2). prove that abcd is a rectangle

Question 1021050: quadrilateral abcd has vertices a(-3 2) b(-1 5) c(5 1) and d(3 -2). prove that abcd is a rectangle
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Line AB has slope
Line CD has slope
==> Lines AB and CD are parallel.
Line BC has slope
Line AD has slope
==> Lines BC and AD are parallel.
Last thing is to just show that one of the four angles is a right angle.
Since the slope of line AB, 3/2, and the slope of line CD, -2/3, have a product of -1, it follows that the angle at vertex C is a right angle, and the proof is complete.
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