Question

K(2, 7), L(6, 12), M(13, 13), N(9,8) (Slope Formula)

prove whether the quadrilateral is a parallelogram

Answer 1

Yes, it's a parallelogram

Explanation:

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.