Question

Prove: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

ABCD is a parallelogram.

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

Answer 1

slope of AD = 2k/(2j-b)
slope of BC = 2k/(2j-b)
AD || BC
slope of AB = 0
slope of DC = 0
AB || DC

Answer 2

Slope of AD=(2k)/(2j-b)
Slope of BC=( 2k)(2j -b)
AD parallel BC
Slope of AB =0
Slope of DC=0
AB parallel DC