SOLUTION: If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?

Algebra ->  Parallelograms -> SOLUTION: If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?      Log On


   

Question 768829: If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?
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Plot the points.
Find slopes of opposite sides AB and CD
If the slopes are the same AB and CD are parallel.
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Find slopes of opposite sides AD and BC
If the slopes are the same AD and BC are parallel.
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If both pairs (above) are respectively parallel, ABCD is a parallelogram.
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Cheers,
Stan H.
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