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Q.

Which of the following quadrilaterals have one and only one pair of parallel sides?


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a

A parallelogram

b

A kite

c

A rhombus

d

A trapezium 

answer is D.

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Detailed Solution

It is given that a quadrilateral has one and only one pair of parallel sides.
A rhombus is a quadrilateral that has two pairs of parallel sides with four unequal angles.
A parallelogram is a quadrilateral that has two pairs of parallel sides and two equal and opposite angles.
A trapezium is a quadrilateral that has one pair of parallel sides and one pair of non-parallel sides.
A kite is a quadrilateral having two pairs of parallel sides but unequal opposite angles.
Thus, a trapezium is a quadrilateral that has one and only one pair of parallel sides.
So, option (4) is correct.
 
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