On the graph, trapezoid a has rotated 180 degrees about the origin. compare the areas of the trapezoids. justify your answer. a) the areas may or may not be the same because the scale is not given. b) the area of trapezoid a is greater than trapezoid a'. a rotation decreases the size of the original polygon. therefore, the area is not preserved. c) the area of trapezoid a' is greater than trapezoid a. a rotation increases the size of the original polygon. therefore, the area is not preserved. reactivate d) the areas are equal. a rotation is a rigid transformation, which does not change the size of the original trapezoid. therefore, the area is preserved.

D)The areas are equal. A rotation is a rigid transformation, which does not change the size of the original trapezoid. Therefore, the area is preserved.

Step-by-step explanation:

Rigid transformations are transformations that maintain congruence.  They do not change the size or shape of a figure.

Rigid transformations include:

Translations (slide the figure);

Reflections (create a mirror image of the figure);

Rotations (turn the figure).

Since rotations are rigid transformations, this means the measures of all of the sides will be the same; this also means the area will be the same.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.