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Parallelogram

If both pairs...

Question

If both pairs of opposite sides of a quadrilateral are parallel, 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 whose both pairs of opposite sides are parallel. Any pair of opposite sides can be considered as parallel and the other two sides will be transversals

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

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

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. If a pair of opposite sides of a quadrilateral is parallel, then it is a parallelogram.

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

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