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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.

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 ABCDis a trapezium in which ABCD

Hence, A quadrilateral with only one pair of opposite sides parallel is a trapezium.


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