Chapter 12.1, Problem 6MC

If the kite in exercise $5$ were concave, do the same answers to parts (a) through (c) hold? Justify your answer.

5. In the following kite, congruent segments are shown with tick marks.

a. Argue that the diagonal $\overline{AC}$ bisects $\angle A$ and $\angle C$.

b. Let $M$ be the point at which the diagonals of kite $ABCD$ intersect. Measure $\angle AMD$ and make a conjecture concerning an angle formed by the diagonals of a kite. Justify your conjecture.

c. Why is $\overline{BM}\cong \overline{MD}$?