Question

Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.

Answer 1

we know that

In a parallelogram opposite sides are parallel and congruent

so

AB=DC

AD=BC

in this problem

AX ≅ CY

then

BX ≅DY

therefore

Area of the trapezoid AXYD is equal to the area of the trapezoid XBCY and the sum of the areas of both trapezoids is equal to the area of parallelogram ABCD

the answer is the option

Each area is equal to half of the area of ABCD

Answer 2

Each area is equal to half of the area of ABCD.