Kite1
When constructing kite ADGE, I started with angle BA. Then I created a circle with center point A that intersected line AB at point D and intersected line AC at point E. Then I created circle D and copied that and used point E as the center point for circle E. Next, I drew a line where they intersected to create the angle bisector. Then I made point G and used line segments GD and GE as the radii, making the pairs of adjacent sides of the kite congruent. Then, I proved that the diagonals, AG and DE, were perpendicular using circles D and E. Since the diagonals are perpendicular and there are two pairs of consecutive congruent sides, ADGE is a kite.