Question

Given a point on a geometric figure (x, y) what is the new point when the figure is rotated clockwise 270 degrees

Answer 1

To rotate a point \((x, y)\) clockwise by 270 degrees (which is equivalent to a counterclockwise rotation of 90 degrees since \(360^\circ - 270^\circ = 90^\circ\)), you can apply the following transformation:

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

2. Therefore, when rotating clockwise by 270 degrees, the new coordinates \((x', y')\) will be:
\[
(x', y') = (-y, x)
\]

So, the new point after rotating the point \((x, y)\) 270 degrees clockwise will be:
\[
(-y, x)
\]