Question

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.

Answer 1

In here, we will use the slope formula in order to prove that ABCD is a parallelogram. The slope of AB must be equal to CD and the slope of BC must be equal to DA. Using the formula m = (y1-y2) / (x1-x2), we obtain the slope for AB = 0/4, BC = 1, CD = 0/4, DA = 1. We can say that ABCD is a parallelogram as it satisfies AB = CD, and BC = DA