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Question
which are not changed after a rotation? check all that apply. angle measures orientation size shape position of center of rotation
Brief Explanations
- Angle measures: Rotation is a rigid transformation. In a rigid transformation, the angle measures of a figure remain the same. For example, if we have a triangle and rotate it, the angles of the triangle do not change.
- Size: Rigid transformations (like rotation) preserve the size of the figure. A square rotated by any angle will still have sides of the same length as the original square.
- Shape: Since rotation is a rigid transformation, the shape of the figure is maintained. A circle rotated about its center is still a circle.
- Position of center of rotation: The center of rotation is a fixed point. When we rotate a figure, this point does not move.
- Orientation: Orientation can change. For example, if we rotate a letter 'L' 90 degrees, its orientation (the direction in which it "points") changes.
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angle measures, size, shape, position of center of rotation.