Figure abcd is a parallelogram. two trapezoids are created using line segment xy such that ax ≅ cy.

what is true about the areas of the trapezoids?

each area is equal to half of the area of abcd.
the area of axyd is less than the area of bxyc.
the area of axyd is greater than the area of bxyc.
each area is equal to the area of abcd.

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

710−−√

Step-by-step explanation: hope this help