Yes because its diagonals bisect each other at 90 degrees producing 4 right angles
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No, the angles aren't right angles.
No because then it would be a square or a rectangle but a kite's diagonals meet at right angles.
Yes because the diagonals are perpendicular producing 4 right angles
A cyclic kite. A kite is cyclic if it has only two right angles.
The diagonals of a kite cross each other at right angles