Question

# A quadrilateral with only one pair of opposite sides parallel is ___________.

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Solution

## A quadrilateral in which a pair of opposite sides is parallel is a trapezium.ExplanationThe trapezium is a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs. It is also called a trapezoid. Sometimes the parallelogram is also called a trapezoid with two parallel sides.Properties of TrapeziumIn trapezium, exactly one pair of opposite sides are parallelThe diagonals intersect each otherThe non-parallel sides in the trapezium are unequal except in isosceles trapeziumThe line that joins the mid-points of the non-parallel sides is always parallel to the bases or parallel sides which is equal to half of the sum of parallel side For example, The given quadrilateral $ABCD$is a trapezium in which $AB\parallel CD$ Hence, A quadrilateral with only one pair of opposite sides parallel is a trapezium.

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