Question 871183
IF
*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \overline{AC}] bisects *[tex \LARGE \overline{BD}] and *[tex \LARGE \overline{BD}] bisects *[tex \LARGE \overline{AC}]
then ABCD is a parallelogram.
Midpoint of BD is (7/2,4)
B(3,5)
D(4,3)  Midpoint (7/2,4)
{{{drawing(300,300,   -6, 8, -6, 8, grid(1), 
circle(1, 2,0.2),
circle(3, 5,0.2),
circle(6, 6,0.2),
circle(4, 3,0.2),
circle(3.5, 4,0.2),
line(1,2,6,6),
line(3,5,4,3),
graph( 300, 300,  -6, 8, -6, 8) )}}}