Question

1. a polygon has been rotated about the origin. which statement must be true? a. the lengths of the sides are doubled. b. the area of the polygon did not change. c. the coordinates of the vertices did not change. d. the area of the polygon is 4 times its original area.

Explanation:

Rotation is a rigid transformation. Rigid transformations preserve the shape and size of a figure. This means that the lengths of the sides and the area of the polygon remain the same. When a polygon is rotated about the origin, the coordinates of its vertices change (so option C is wrong). Rotation does not double the side - lengths (so option A is wrong) and does not multiply the area by 4 (so option D is wrong).

Answer:

B. The area of the polygon did not change.