SOLUTION: Prove that the points A(-4,-1), B(-2,-3), C(4,3), and D(2,5) are the vertices of a rectangle. Sketch the rectangle.

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Question 768349: Prove that the points A(-4,-1), B(-2,-3), C(4,3), and D(2,5) are the vertices of a rectangle. Sketch the rectangle.
Answer by Alan3354(69443) About Me  (Show Source):
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Prove that the points A(-4,-1), B(-2,-3), C(4,3), and D(2,5) are the vertices of a rectangle. Sketch the rectangle.
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Find the slope of AB, BC, CD and AD
If the lines are perpendicular, it's a rectangle.
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For AB:
slope m = diffy/diffx = -2/2 = -1
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For BC:
m = 6/6 = 1
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The 2 slopes are negative reciprocals, so they're perpendicular.
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Do the same for the others.