Question

K (−3, −1), L (−2, −8), M (1, −2), and N (0,5). I will prove that quadrilateral KLMN is a parallelogram by demonstrating that both pairs of opposite sides are parallel. Slope of KL = _, slope of LM = _, slope of MN = _, slope of NK = _. The slopes of any pair of _ sides are _. That being the case, those sides are _. Therefore, the quadrilateral is a _.

Answer 1

Slope of KL = -7, slope of LM = 2, slope of MN = -7, slope of NK = 2. The slopes of any pair of opposite sides are equal. That being the case, those sides are parallel. Therefore, the quadrilateral is a parallelogram.