Which of the following quadrilaterals satisfy the property of only one pair of opposite sides being parallel?

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Trapezium

Parallelogram

Square

Rectangle

answer is A.

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Detailed Solution

We need to find a quadrilateral which will satisfy the property of only one pair of opposite sides being parallel.
Opposite sides of a quadrilateral are the sides or edges which face each other.
Now, we have to choose the quadrilateral which has only one pair of opposite sides as parallel.
So, we know that a parallelogram as its name suggests, is a quadrilateral in which the pairs of opposite sides are parallel, and as all squares and rectangles belong to the category of special parallelograms, hence they also satisfy the condition of opposite sides being parallel.
But, for a trapezium, exactly one pair of opposite sides are parallel, as shown in the diagram below,
Question Image

It can be observed that ABCD is a trapezium, and the side AB is parallel to the side CD, while the sides AD and BC are non-parallel.
Hence, the correct option is (1).

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