Rotation Rules with origin

Move the points around if you wish.
What do you think the rule is for turning any point 90 degrees counter clockwise (CCW)?
What do you think the rule is for turning any point 180 degrees counter clockwise (CCW)?
What do you think the rule is for turning any point 270 degrees counter clockwise (CCW)?
Why do you think the rule turning any point 90 degrees clockwise (CW) is the same as turning any point 270 degrees counter clockwise (CCW)?
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Information: Rotation Rules with origin