Question

it is given that quadrilateral abcd is a kite. we know that $overline{ad}congoverline{cd}$ by the definition of kite. by the kite diagonal theorem, $overline{ac}$ is congruent to $overline{bd}$. this means that angles aed angles. we also see that $overline{ed}congoverline{e}$ reflexive property. there $\triangle aedcong\triangle ced$ by hl.

Explanation:

Step1: Recall kite - diagonal theorem

The kite - diagonal theorem states that the diagonals of a kite are perpendicular.

Answer:

perpendicular