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?(1 point)
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Remaining Attempts : 3

Answer 1

To find the new coordinates of a point \((x, y)\) after rotating it clockwise by 270 degrees about the origin, you can use the rotation formula for clockwise rotation.

Rotating a point \((x, y)\) by 270 degrees clockwise is equivalent to rotating it by 90 degrees counterclockwise. The rotation formula for 90 degrees counterclockwise is:

\[ (x, y) \rightarrow (-y, x) \]

So, after a 270-degree clockwise rotation, the new coordinates of the point will be:

\[ \text{New point} = (-y, x) \]

Thus, the new point after rotating \((x, y)\) 270 degrees clockwise about the origin is:

\[ (-y, x) \]