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agasfer [191]
3 years ago
13

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.

Mathematics
1 answer:
Rasek [7]3 years ago
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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