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Trapezium and Its Property

What is the p...

Question

What is the parallelogram in which the diagonals are equal and intesect at right angles called?

A

Rectangle

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B

Rhombus

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C

Square

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D

Kite

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Solution

The correct option is C Square
A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

A rectangle in which the diagonals intersect at right angles is a square.

So, a parallelogram in which diagonals are equal and intersect at right angles is a square.

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Similar questions

Q. If the diagonals of a parallelogram are equal and don't intersect at right angles, then it is called a ________ .

Q. Name the following parallelograms :
i) Adjacent sides are equal, diagonals are unequal.
ii) Adjacent sides are unequal, but adjacent angles are equal.
iii) The diagonals are equal and the adjacent sides are unequal.
iv) The diagonals intersect at right angle and adjacent sides are equal.
v) All sides are equal and diagonals are equal.
vi) Adjacent angles are equal, diagonals are equal, adjacent sides are unequal.

Q. Which of the following statements are true (T) and which are false (F)?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals intersect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram.

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

Q. State true or false:

In a parallelogram, the diagonals intersect at right angles

In quadrilateral PQRS, the diagonals are equal and intersect each other at right angles. Then, quadrilateral PQRS is a

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