What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin?(1 point) Responses (−8, −5) left parenthesis negative 8 comma negative 5 right parenthesis (−5, 8) left parenthesis negative 5 comma 8 right parenthesis (8, 5) left parenthesis 8 comma 5 right parenthesis (8, −5)
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To rotate a point \( (x, y) \) 270 degrees counterclockwise about the origin, you can use the rotation transformation formula:
\[ (x', y') = (y, -x) \]
For the point \( (5, 8) \):
So, rotating \( (5, 8) \) 270 degrees counterclockwise about the origin gives us the new point:
\[ (8, -5) \]
Thus, the answer is \( \boxed{(8, -5)} \).
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