Quadrilateral MNOP has vertices at M (-3,1), N(-7,-2), O (-1, -10), and P(3,-7). Describe the most specific classification of quadrilateral MNOP

Answer 1

M-N = (4, 3)

P-O = (4, 3)

Thus, OP and MN are of equal length and are parallel.

Thus, we have a parallelogram.

O-N = (6, -8)

MN . ON = (4, 3) . (6, -8) = 4*6+3*-8 = 0, so MN ⊥ ON

MN and ON are of different length

A parallelogram with a perpendicular angle and sides of unequal lengths is a rectangle.