Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that line segment AX is congruent to line segment CY What is true about the areas of the trapezoids?

Opposite sides of a parallelogram are equal, so AB = CD. Since AX = CY, the remaining segments XB and DY are also equal. The two trapezoids have the same height and matching pairs of parallel sides, so their areas are equal; together they make up ABCD. Therefore, each trapezoid has half the area of ABCD, as choice A states.

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