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What is the image of (1 -6) for a 180 degree counterclockwise rotation about the origin?
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What is the image of the point (43) if the rotation is 90 degrees?
The answer will depend on whether the rotation is clockwise or counterclockwise.
What is the image of (1-6) for a 270 counterclockwise rotation about the orgin?
It is (6, 1).
What is the image of C for a 90 and deg counterclockwise rotation about A?
The answer depends on the location of A and C. Without that information the question cannot be answered.
What is the image of point 4 3 if the rotation is -270?
All rotations, other than those of 180 degrees should be further qualified as being clockwise or counter-clockwise. This one is not and I am assuming that the direction of rotation is the same as measurement of polar angles. Also, a rotation is not properly defined unless the centre of rotation is specified. I am assuming that the centre of rotation is the origin. Without these two assumptions any point in the plane can be the image. With the assumptions, for which there is no valid reason, the image is (3, -4).
What is true about every rotation?
The image and pre-image are congruent.
