Question

Complete the proof to show that ABCD is a parallelogram.

The slope of BC is . The slope of AD is . The slope of CD is . The slope of BA is . BC ∥ AD and CD ∥ BA because the . Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

Answer 1

The slope of BC is
(4-2)/(-3-2) = -2/5

The slope of AD is
(-2- -4)/(-2-3) = -2/5

The slope of CD is
(2- -4)/(2-3) = -6

The slope of BA is
(4- -2)/(-3- -2) = -6

BC ∥ AD and CD ∥ BA because their slopes are equal. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.