Which of the following quadrilaterals has/have equal length of diagonals?

i) Rhombus

ii) Rectangle

iii) Square

iv) Parallelogram

i and ii

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ii and iii

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iii and iv

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i and iii

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Solution

The correct option is B ii and iii
Rhombus has unequal diagonals which are perpendicular bisectors.

Square has equal diagonals which are perpendicular bisectors.

Rectangle has equal diagonals.

Parallelogram has unequal diagonals, and bisect each other.

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Similar questions

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

Q. Explain how a square is a-
(i) quadrilateral (ii) parallelogram (iii) rhombus (iv) rectangle.

Q. Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

Which of the following statements are true for a square?
(i) It is rectangle.
(ii) It has all its sides of equal length.
(iii) Its diagonals bisect each other at right angle.
(iv) Its diagonals are equal to its sides.

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Which of the following quadrilaterals has/have equal length of diagonals? i) Rhombus ii) Rectangle iii) Square iv) Parallelogram

The correct option is B ii and iii Rhombus has unequal diagonals which are perpendicular bisectors. Square has equal diagonals which are perpendicular bisectors. Rectangle has equal diagonals. Parallelogram has unequal diagonals, and bisect each other.

Which of the following quadrilaterals has/have equal length of diagonals?

i) Rhombus

ii) Rectangle

iii) Square

iv) Parallelogram

The correct option is B ii and iii
Rhombus has unequal diagonals which are perpendicular bisectors.

Square has equal diagonals which are perpendicular bisectors.

Rectangle has equal diagonals.

Parallelogram has unequal diagonals, and bisect each other.