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Answer :
Final answer:
The two rotations that can describe the given transformation are 90 degrees clockwise and 180 degrees. These rotations can be visualized by imagining a shape on a piece of paper and rotating it using your hands.
Explanation:
There are two rotations that can describe the given transformation. The first rotation is 90 degrees clockwise, and the second rotation is 180 degrees. These rotations can be visualized by imagining a shape on a piece of paper and rotating it using your hands. For example, if you take a square on a piece of paper and rotate it 90 degrees clockwise, it will appear as if the shape has turned to the right. If you then rotate the square 180 degrees, it will appear upside down. These rotations can be represented mathematically using coordinates and trigonometric functions.
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The two rotations that could describe the same transformation are 90 degrees clockwise and 270 degrees counterclockwise, as they result in the same final orientation of the object.
If an object is rotated 90 degrees clockwise, it moves a quarter turn in the clockwise direction. Conversely, a 90 degrees counterclockwise rotation moves the object a quarter turn in the opposite direction.
A 180-degree rotation turns the object upside down, resulting in a symmetrical positioning from the original. A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation, as it involves three-quarters of a full turn in the clockwise direction. Similarly, a 270-degree counterclockwise rotation can be viewed as a 90-degree clockwise turn. Finally, a 360-degree rotation returns the object to its original position.
