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Q: Do the diagonals of all quadrilaterals bisect?

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All parallelograms.

Rhombuses are the group of quadrilaterals that have diagonals that bisect their opposite angles.

they are called parallelogram in which diagonals are equal

Quadrilaterals do not bisect each other. They could in special cases. In parallelograms (types of quadrilaterals), the diagonals bisect each other.

Parallelogram

Squares do.

Parallelograms.

squares

Quadrilaterals that have diagonals that bisect each other at 90 degrees are a square, a rhombus and a kite

Square, rhombus and a kite have diagonals that bisect each other at 90 degrees

There is no quadrilateral on that list with diagonals that bisect each other.

In parallelograms, the diagonals may be unequal in length but bisect a pair of equal angles at opposite ends of the parallelogram.

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