Given a point on a geometric figure (x, y)

Question

, what is the new point when the figure is rotated clockwise about the origin 270 degrees

Answer 1

To rotate a point \((x, y)\) clockwise about the origin by \(270\) degrees, you can think of it as rotating the point \(90\) degrees counterclockwise.

The formula for rotating a point \((x, y)\) counterclockwise by \(90\) degrees is: \[ (x', y') = (-y, x) \]

So, for clockwise rotation by \(270\) degrees, the new coordinates \((x', y')\) will be: \[ (x', y') = (-y, x) \]

Thus, the new point after a \(270\) degree clockwise rotation about the origin is \((-y, x)\).