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. Can someone help me out with this

Question

anonymous · Answer

Find the slope of line segment AB as -2/3
Then find the slope of segment CD as-2/3
That tells that pair of parallel sides are AB and CD
To calculate the mid segment coordinates, we need to focus on no parallel sides of th trapezoid.
Those are AD and BC.
The coordinates for the midpoint M  of AD are (-.5,3.5) 
The coordinates of the midpoint N of segmentBC are (4,.5)
Using the distance formula we use the coordinates of points M and N to calculate the length of  mid segment MN as
Square root of 29.25 which is 5.41 approx