On the coordinate plane shown, points

A (−5,−6), B (2,−6), C (8,5), and D (−7,5)
are plotted and connected with line segments to form a trapezoid.
What is the height of the trapezoid?

A.11 units

B.7 units

C.15 units

D.10 units

1 answer

We can find the height of the trapezoid by finding the distance between the parallel sides. One side is AB with length 2 − (−5) = 7, and the other side is CD with length (−7) − 8 = −15 (but the distance is the absolute value of this, which is 15). Therefore, the height of the trapezoid is the distance between AB and CD, which is 15 − 7 = 8 units. However, be careful! The trapezoid is not drawn to scale, so we cannot use the grid lines to measure the distance. The correct answer is:

height = 15 - 7 = 8 units

Therefore, the answer is not any of the choices given.