Best Answer

It could be a square, but consider the following congruent & perpendicular 'diagonals of a quadrilateral (you will have to connect the endpoints of the diagonals, yourself, as it cannot be drawn in text):

.

_|___

. |

. |

. |

If the two diagonals, also bisect each other, then it's a square, otherwise it is not.

Q: Is a quadrilateral with congruent and perpendicular diagonals a square or a rhombus?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular

Rhombus

A Parallelogram and a rhombus

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.

It makes sense because it is true. There are other quadrilaterals whose diagonals are perpendicular.

Related questions

The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.

It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular

The diagonals are perpendicular, but not necessarily congruent.

No. The diagonals are perpendicular, but they dont have to be congruent.

rhombus

Rhombus

yes. A kite is not a rhombus, but has perpendicular diagonals.

Rhombus.

A rhombus

A quadrilateral with four congruent sides and uncongruent diagonals is a Rhombus. See related link for a picture

rhombus

false