Statement 1: A parallelogram is a trapezium.
Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.

Statement 1 is true, statement 2 is false

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Both statements are true, statement 2 is the correct explanation of statement 1

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Both statements are false

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Statement 1 is false, statement 2 is true

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Solution

The correct option is B
Both statements are true, statement 2 is the correct explanation of statement 1

A trapezium is defined as a quadrilateral whose one pair of opposite sides are parallel.
In a parallelogram, both pair of opposite sides are parallel. So, it satisfies the definition of a trapezium.

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Similar questions

Statement 1: A parallelogram is a trapezium.
Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.

Q. A parallelogram has ____ pairs of opposite sides that are parallel.

Q. In a trapezium, one pair of opposite sides are parallel.

Q. A quadrilateral with only one pair of opposite sides parallel is called a trapezium.

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)

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Statement 1: A parallelogram is a trapezium. Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.

Statement 1: A parallelogram is a trapezium.
Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.