Which of the following options is correct-A -parallelogram has all sides equal-A trapezium has one pair of sides parallel-A parallelogram has two pairs of parallel sides-A trapezium has equal opposite angles-

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Standard IX

Mathematics

Parallelogram

Which of the ...

Question

Which of the following options is correct?

A parallelogram has all sides equal.

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A trapezium has one pair of sides parallel.

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A parallelogram has two pairs of parallel sides.

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A trapezium has equal opposite angles.

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Solution

The correct options are
B A trapezium has one pair of sides parallel.
C A parallelogram has two pairs of parallel sides.
A polygon is a closed figure bounded by straight lines. So, a triangle is a polygon.

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Similar questions

Q. An isosceles trapezium has

(a) all sides equal
(b) paralles sides equal
(c) non-parallel sides equal
(d) any two equal sides

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)

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. 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 options is correct?

The correct options are B A trapezium has one pair of sides parallel. C A parallelogram has two pairs of parallel sides.A polygon is a closed figure bounded by straight lines. So, a triangle is a polygon.

The correct options are
B A trapezium has one pair of sides parallel.
C A parallelogram has two pairs of parallel sides.
A polygon is a closed figure bounded by straight lines. So, a triangle is a polygon.