191k views
4 votes
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.

User Fourslashw
by
8.2k points

1 Answer

4 votes

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

User Methnani Bilel
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories