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A figure can be rotated through any angle of your choice.
It is called a rotation
In geometry, a rotation refers to the movement of a figure around a fixed point, called the center of rotation. The figure remains the same shape and size, but it changes its position, orientation, or both. A rotation can be either clockwise or counterclockwise, and is measured in degrees.
A square.
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.