The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral has to be

Any parallelogram

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Any rectangle

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Any trapezium

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Any rhombus

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Solution

The correct option is A Any rectangle
Diagonals of parallelogram, rhombus, and trapezium bisect each other but diagonals of a rectangle are equal and bisect each other.
Hence, option $C$ is correct.

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Similar questions

Which of the given statements is incorrect

1.Diagonals of the parallelogram bisect each other.
2.If the Diagonals of a quadrilateral bisect each other,it is a parallelogram.
3.Diagonals of a parallelogram are equal.
4.Diagonals of the parallelogram are perpendicular to each other

Q. Question 22
If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a
a) Rhombus
b) Rectangle
c) Trapezium
d) Parallelogram

Prove logically the diagonals of a parallelogram bisect each other. Show conversely that a quadrilateral in which diagonals bisect each other is a parallelogram.

Q. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Q. If the diagonals of a quadrilateral bisect each other then quadrilateral is a parallelograms. Prove it

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The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral has to be

The correct option is A Any rectangleDiagonals of parallelogram, rhombus, and trapezium bisect each other but diagonals of a rectangle are equal and bisect each other. Hence, option C is correct.

The correct option is A Any rectangle
Diagonals of parallelogram, rhombus, and trapezium bisect each other but diagonals of a rectangle are equal and bisect each other.
Hence, option $C$ is correct.