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Do both diagonals bisect each other on a kite?
Yes at right angles
What quadrilaterals have diagonals that bisect the angels of the quadrilateral?
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
What quadrilateral has diagonals that bisect both pair of opposite angles?
A rhombus or a square. In rectangles (unequal side length) this does not occur.
What is the name of the quadrilateral that are perpendicular and bisect each other?
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
Properties of a square?
Four sided figure. All sides are the same length. All angles are equal. Four right angles. Both diagonals are equal.
