Question

A quadrilateral in which a pair of opposite sides is parallel is __________.

Answer 1

A quadrilateral in which a pair of opposite sides is parallel is a trapezium.

Explanation

The 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 Trapezium

• In trapezium, exactly one pair of opposite sides are parallel
• The diagonals intersect each other
• The non-parallel sides in the trapezium are unequal except in isosceles trapezium
• The 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 in which a pair of opposite sides is parallel is a trapezium.