Question

90 and 270 Degree Rotations Practice
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Question
Given a point on a geometric figure (x, y)
, what is the new point when the figure is rotated clockwise about the origin 270 degrees?(1 point)

Answer 1

To find the new coordinates of a point \((x, y)\) after a clockwise rotation of 270 degrees around the origin, we can follow these steps:

1. A clockwise rotation of 270 degrees is equivalent to a counterclockwise rotation of 90 degrees.
2. The formulas for rotating a point counterclockwise by 90 degrees are as follows:
\[
(x, y) \rightarrow (-y, x)
\]

Therefore, if we apply a clockwise rotation of 270 degrees to the point \((x, y)\), the new coordinates will be:
\[
(-y, x)
\]

This means the new point after the rotation will be \((-y, x)\).