What is the length of the midsegment of the trapezoid made by the vertices A(0, 5), B(3, 3), C(5, -2) and D(-1, 2). Show equations and all work that leads to your answer.

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What is the length of the midsegment of the trapezoid made by the vertices A(0, 5), B(3, 3), C(5, -2) and D(-1, 2). Show equations and all work that leads to your answer.
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Steve · Answer

Checking the slopes of the lines, we see that the parallel bases are AB and CD. So, the sides are AD and BC.

The midpoint M of AD is (-1/2,7/2)
The midpoint N of BC is (4,1/2)

Now you have two points, so you can figure the length of the line MN