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yes, the diagonals of a kite bisect each other.
A kite is a quadrilateral is a kite if it has two sets of sides that are the same length and are adjacent to each other. A square fits this definition, so a square is a kite.
The diagonals of a kite cross each other at right angles
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The diagonals of a kite are perpendicular and therefore bisect each other at 90 degrees