Q:

Based on what you know about rotations, what do you think the mapping rule is for a rotation of 270 degrees clockwise? Explain.

Accepted Solution

A:
When a point it rotated, it must be rotated across a center.The mapping rule of 270 degrees clockwise rotation is:[tex]\mathbf{(x,y) \to (-y,x)}[/tex]Assume that a coordinate point is (x,y).A point rotated at 270 degrees clockwise, would land on the same point as a rotation of 90 degrees counter-clockwiseThe rule of 90 degrees counter-clockwise is[tex]\mathbf{(x,y) \to (-y,x)}[/tex]Hence, the mapping rule of 270 degrees clockwise is:[tex]\mathbf{(x,y) \to (-y,x)}[/tex]Read more about rotations at: