Question

Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases.

Slopes are equal; therefore, segments are parallel

(fill in the blanks of the equation in the second picture with the correct number/letter/sign based off the first picture.)

Answer 1

M(b/2 ,c/2 )
Midpoint of BD=((a+d)/2 ,c /2 )
slope of AB = 0
Slope of MN =((c/2-c/2)/ ((a+d)/2-c/2 ))=0