A kite is a quadrilateral with two pairs of equal, adjacent sides. Kite ABCD is shown with AB = BC and AD=CD. Its diagonals, AC and BD, have been drawn and intersect at M. Various angles have been marked for use.
#5: Prove for kite ABCD above that BD bisects both ZABC and ZADC.

#6: Given what we now know from #5, prove that M must be the midpoint of AC.