The vertices of the trapezoid are J(4m, 4n), K(4q, 4n), M(4p, 0), and L(0, 0). How do you find the midpoint of the midsegment of the trapezoid Midsegment=HN?

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Answer 1 · 2018-07-13T10:58:36

Mid point of the mid segment is #(m+2p+q), 2n)#

#J(4m, 4n), K(4q, 4n), L(0,0), M(4p,0)#

H is the mid point of JK and N the mid point of LM

#H(x, y) = (4m + 4q)/2, (4n + 4n)/2 = ((2m+2q), 4n)#

#N(x,y) = (4p + 0)/2, (0+0)/2 = (2p,0)#

Mid point of HN O is

#O(x,y) = ((2m + 2q + 4p)/2, (4n +0)/2)#

Mid point of the mid segment is #(m+2p+q), 2n)#