Which of the following conditions is necessary for a quadrilateral to be a trapezium?
A. All the sides must be equal
B. All the angles must be equal
C. A pair of opposite sides must be parallel
D. A pair of opposite sides must be equal

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Solution

We know that, in a trapezium one pair of opposite sides must be parallel.
Option (C) is the correct answer.

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Similar questions

Q. To call any given quadrilateral a rectangle, the opposite sides of the quadrilateral must be equal, and all angles should be equal to 90°.

Which of the following conditions are necessary and sufficient for a quadrilateral to be a square?

(1)All sides are of same length

(2) All angles are equal

(3) Diagonals are perpendicular to each other

(4) Diagonals are of same length

(5) Opposite sides should be parallel

Which of the following is not true for a trapezium?

(A) One pair of opposite side is parallel

(B) Opposite sides may or may not be equal.

(C) All the angles are right angles.

Q. A quadrilateral has all of its sides equal and the pairs of opposite sides are parallel to each other. Which of the following shapes can it be?

1, 3 and 4
Both 1 and 3
Only 1
Only 3

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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Which of the following conditions is necessary for a quadrilateral to be a trapezium? A. All the sides must be equal B. All the angles must be equal C. A pair of opposite sides must be parallel D. A pair of opposite sides must be equal

We know that, in a trapezium one pair of opposite sides must be parallel. Option (C) is the correct answer.

Which of the following conditions is necessary for a quadrilateral to be a trapezium?
A. All the sides must be equal
B. All the angles must be equal
C. A pair of opposite sides must be parallel
D. A pair of opposite sides must be equal

We know that, in a trapezium one pair of opposite sides must be parallel.
Option (C) is the correct answer.