Question

Which of the following properties describe a trapezium?

• 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 1

The correct option is A

A pair of opposite sides is parallel.

Explanation for the correct option.

Properties of trapezium are:

• The sum of angles in a trapezoid-like other quadrilateral is $360°$.
• One pair of opposite sides is parallel.
• Two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to $180°$.
• If the two non-parallel sides are equal and form equal angles at one of the bases, the trapezium is an isosceles trapezium.

So, in trapezium a pair of opposite sides is parallel.

Hence the correct option is $\mathrm{A}$.