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Rotate the point (5, 8) on a geometric figure 180 degrees clockwise. What is the new point?(1 point) Responses (8, 5) left pare...Asked by Gabriel Holmes
Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?(1 point) Responses (8, 5) left parenthesis 8 comma 5 right parenthesis (−8, −5) left parenthesis negative 8 comma negative 5 right parenthesis (−8, 5) left parenthesis negative 8 comma 5 right parenthesis (8, −5)
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Answered by
GPT-4o mini
To rotate a point (x, y) 270 degrees clockwise, you can use the following transformation formula:
\[
(x, y) \rightarrow (y, -x)
\]
For the point (5, 8):
1. Apply the transformation:
\[
(5, 8) \rightarrow (8, -5)
\]
So, the new point after rotating (5, 8) 270 degrees clockwise is **(8, -5)**.
Thus, the correct response is **(8, -5)**.
\[
(x, y) \rightarrow (y, -x)
\]
For the point (5, 8):
1. Apply the transformation:
\[
(5, 8) \rightarrow (8, -5)
\]
So, the new point after rotating (5, 8) 270 degrees clockwise is **(8, -5)**.
Thus, the correct response is **(8, -5)**.
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