Which of the following quadrilaterals is a parallelogram with all sides equal?

Trapezium

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Rectangle

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Rhombus

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Kite

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Solution

The correct option is C Rhombus
A quadrilateral is said to be a parallelogram when the opposite sides are parallel and equal.

So, from the given options, only rhombus has opposite sides parallel and equal.

So, rhombus is the correct option.

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Similar questions

Which of the following is a quadrilateral with all equal sides?

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 bisect 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.

(1)	Rectangle	(p)	A quadrilateral having its opposite sides equal and parallel.
(2)	Square	(q)	A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3)	Parallelogram	(r)	A parallelogram having all sides equal and each of the angle is a right angle.
(4)	Rhombus	(s)	A quadrilateral in which a pair of opposite sides are parallel.
(5)	Trapezium	(t)	A parallelogram having all sides equal.

$(1)$ Rectangle	(p) A quadrilateral having its opposite sides equal and parallel.
$(2)$ Square	(q) A parallelogram having its opposite sides equal and each of the angle is a right angle.
$(3)$ Parallelogram	(r) A parallelogram having all sides equal and each of the angle is a right angle.
$(4)$ Rhombus	(s) A quadrilateral in which a pair of opposite sides are parallel.
$(5)$ Trapezium	(t) A parallelogram having all sides equal.

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