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Q: In which quadrilateral are the diagonals always congruent?

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In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.

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.

the diagonals of a trepazoid always congruent?

A square would fit the given description.

An Isosceles Trapezoid, Rectangle, or a Square.

Related questions

In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.

It is a square

No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).

False

congruent

congruent

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

A square

Rhombus.

It is a square.

square

Square.

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