Question

The vertices of a quadrilateral are A(-5,3), B(2,2), C(4,-3) and D(-2,-2). How can you use slope to determine whether the quadrilateral is a parallelogram? Is it a Parallelogram? Justify your answer.

Answer 1

The slope of side AB = (3 - 2)/(-5 - 2) = -1/7 the slope of the opposite side DC = (-3 - -2)/(4 - -2) = -1/6 
Not a parallelogram because both pairs of opposite sides are not parallel (have same slope)