Question

What is the length of the midsegment of this trapezoid?

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Answer 1

Midsegment of a trapezoid connects the midpoints of two non-parallel sides

According to the figure, AB||CD

Midpoint of AD = ( -11+(-8) / 2  , 3+(-2)/2) = (-19/2 , 1/2)

Midpoint of BC = (0+(-1)/2 , 3+(-2)/2) = (-1/2 , 1/2)

Length of midsegment = $\sqrt{(-1/2+19/2)^2 +(1/2-1/2)^2}$

                                      = $\sqrt{(18/2)^2}$ = $\sqrt{9^2}$ = 9 units