Question

emma called the following figure a trapezoid. which of the following proves emma is correct?
the figure has one pair of opposite sides that are marked congruent.
the figure has base angles marked congruent.
the figure has one pair of opposite sides that are marked parallel.
the figure has two pairs of opposite sides that are marked congruent.

Explanation:

A trapezoid is defined as a quadrilateral with at least one pair of parallel sides. The figure in question has one pair of opposite sides marked parallel. Congruent sides or angles (whether one pair or two pairs) do not define a trapezoid. For example, a parallelogram has two pairs of congruent sides but is not a trapezoid (in the inclusive definition, a trapezoid has at least one pair of parallel sides; in the exclusive definition, a trapezoid has exactly one pair of parallel sides. But in either case, the key is the parallel - side property). The base - angles congruent property is more relevant to isosceles trapezoids (a special type of trapezoid) but the general trapezoid definition focuses on parallel sides.

Answer:

The figure has one pair of opposite sides that are marked parallel.