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They are 4 sided quadrilaterals such as a square, a rectangle, a rhombus, a parallelogram and a kite.

Q: In what shapes do the diagonals bisect each other?

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In most shapes the diagonals do not bisect one another. It might be possible to answer the question if it were more specific. To start with, shapes with how many sides?

The diagonals of a square bisect each other at 90 degrees

Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.

No, the diagonals of a trapezoid do not necessarily bisect each other. Only in an isosceles trapezoid, where the two non-parallel sides are congruent, will the diagonals bisect each other. In a general trapezoid, the diagonals do not bisect each other.

A square, rhombus and a kite are examples of shapes whose diagonals bisect each other at 90 degrees

Related questions

A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book)

In most shapes the diagonals do not bisect one another. It might be possible to answer the question if it were more specific. To start with, shapes with how many sides?

name 4 diagonals that bisect each other

Yes, the diagonals of a parallelogram bisect each other.

The diagonals of a square (which always bisect each other) are the same length.

The diagonals of a square bisect each other at 90 degrees

Yes the diagonals of a kite bisect each other at 90 degrees.

Not necessarily - the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.

Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.

An isosceles trapezoid, or any trapezoid, does not have diagonals that bisect each other.

No, the diagonals of a trapezoid do not necessarily bisect each other. Only in an isosceles trapezoid, where the two non-parallel sides are congruent, will the diagonals bisect each other. In a general trapezoid, the diagonals do not bisect each other.

A square, rhombus and a kite are examples of shapes whose diagonals bisect each other at 90 degrees