Question

Let ABCD be a trapezoid with sides AB and CD parallel. let M₁ and M₂ be the midpoints of the nonparallel sides (AD and BC). Use the vector methods taught in class to show that the vector of M₁ and M₂ = 1/2(vector of AB + vector of DC)

Answer 1

M1 = (D-A)/2
M2 = (C-B)/2
the vector from M1 to M2 is
M2-M1 = (C-B)/2 - (D-A)/2 = (C-D)/2 + (A-B)/2

Answer 2

thank you so much