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Parallelogram

If the pairs ...

Question

If the pairs of opposite sides of a quadrilateral are parallel and equal, then it is called:

A

Triangle

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B

Circle

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C

Parallelogram

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D

All of these

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Solution

The correct option is C
Parallelogram

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides are of equal length. Please refer to the figure.

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Similar questions

Prove that if one pair of opposite sides of a quadrilateral are equal and parallel, then it is a parallelogram.

If both pairs of opposite sides of a quadrilateral are parallel, then it is called _______.

Q. Fill in the blanks.
(i) The opposite sides of a parallelogram are P and Q .
(ii) A quadrilateral having only one pair of opposite sides parallel is called a R .
(iii) A parallelogram having all the sides equal is called a S .

Q. Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ........................
(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................ (square, rectangle, trapezium)

(iii) A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. (perpendicular to parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a .................
(rectangle, square, rhombus)

(v) Consecutive angles of a parallelogram are ...................
(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..................
(kite, rhombus, square)

Q. Match the following.

$(1)$ 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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