Question

ABCD is a trapezoid. Select the conditions that must be true for ABCD to be classified as a trapezoid.

A. One pair of opposite sides is parallel.
B. Diagonals are congruent.
C. Adjacent angles are supplementary.
D. One pair of opposite angles is equal.
E. The sum of the interior angles is 360 degrees.

Answer 1

One pair of opposite sides must be parallel.

Step-by-step explanation:

In order for a quadrilateral to be classified as a trapezoid, the condition that must be true is that one pair of opposite sides is parallel. This means that one pair of sides must be parallel while the other pair of sides may or may not be parallel.

The other conditions listed in the question are not necessary for a trapezoid. Diagonals can be congruent in other types of quadrilaterals, adjacent angles can be supplementary in other types of quadrilaterals, one pair of opposite angles can be equal in other types of quadrilaterals, and the sum of the interior angles can be 360 degrees in different types of polygons.