Question

On the graph, trapezoid A has rotated 180 degrees about the origin. Compare the areas of the trapezoids. Justify your answer.

Answer 1

Answer:

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.

Answer 2

Answer:

d

Step-by-step explanation:

they are equal