Which statement about rotation is correct?

Which statement about rotation is correct?

• A. It preserves size but not orientation
• B. It reflects across a line
• C. It translates a figure
• D. It rotates a figure around a fixed point by a certain angle

Answer: (D)

Rotation is a rigid motion where every point of the figure moves along a circular path centered at a fixed point, and all points turn through the same angle. This moves the figure to a new position without changing its size or shape, and it preserves its orientation because no mirror is involved. The statement that describes rotating a figure around a fixed point by a certain angle captures this idea exactly. By contrast, flipping across a line describes a reflection, and sliding without turning describes a translation.

Rotation is a rigid motion where every point of the figure moves along a circular path centered at a fixed point, and all points turn through the same angle. This moves the figure to a new position without changing its size or shape, and it preserves its orientation because no mirror is involved. The statement that describes rotating a figure around a fixed point by a certain angle captures this idea exactly. By contrast, flipping across a line describes a reflection, and sliding without turning describes a translation.