Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram.

1 answer:

7 0

If ABCD is a parallelogram, we have to prove that slope of AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the slope of line segment AB = 0/-4, CD = 0/-4, BC = 1, DA = 1. Going back to the condition, the slope we get for each line segment proves that ABCD is a parallelogram.

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