Question

How are the coordinates of the new point found if it is rotated 90Á counterclockwise? How many degrees is that equivalent to if the rotation is clockwise?

How are the coordinates of the new point found if it is rotated 180Á counterclockwise? How many degrees is that equivalent to if the rotation is clockwise?

Answer 1

When a point is rotated 90 degrees counterclockwise, the x-coordinate becomes the new y-coordinate and the y-coordinate becomes the negation of the old x-coordinate. If the rotation is clockwise, it is equivalent to a 270 degree counterclockwise rotation.

Step-by-step explanation:

When a point is rotated 90 degrees counterclockwise, the x-coordinate becomes the new y-coordinate and the y-coordinate becomes the negation of the old x-coordinate. For example, if the original point is (x, y), after a 90 degree counterclockwise rotation, the new point will be (-y, x).

If the rotation is clockwise, it is equivalent to a 360 - 90 = 270 degree counterclockwise rotation.

Answer 2

The new coordinates of new point if it is rotated by 90 degree counterclockwise by adding pi/2 to the coordinate. It is equivalent to 270 degree if it is rotated clockwise direction. The new coordinates of new point if it is rotated by 180 degree counterclockwise by adding pi to the coordinate. It is equivalent to 180 degree if it is rotated clockwise direction.