Rotate a figure around a point not on the figure

The image below shows polygon ABCDE rotated 90° clockwise around the point (2, 3). Is the rotated figure congruent to the original figure? Overlay the figures to compare side lengths and angle measures.

Moving the original figure along the arcs allows us to see that the rotated figure is the same size and shape as the original.

Use the slider to control the animation: