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Q.

Which of the following properties describe a trapezium?


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a

A pair of opposite sides is parallel.

b

The diagonals bisect each other.

c

The diagonals are perpendicular to each other.

d

The diagonals are equal. 

answer is A.

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Detailed Solution

We need to find a property that describes a trapezium.
A trapezium is a quadrilateral with exactly one pair of opposite sides as parallel.
The non-parallel sides are known as the legs of a trapezium.
From this definition, we can conclude that the necessary and sufficient condition for a quadrilateral to be a trapezium is that one pair of opposite sides must be parallel.
Hence, the correct option is (1).
 

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