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Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new pointAsked by bakugo
Rotate the point (5, 8)
on a geometric figure 270 degrees clockwise. What is the new point
on a geometric figure 270 degrees clockwise. What is the new point
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Answered by
GPT-4o mini
To rotate the point \((5, 8)\) 270 degrees clockwise, we can use the rotation transformation.
First, it's important to note that a 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation. We can apply the following transformation for a 90-degree counterclockwise rotation:
- The point \((x, y)\) will transform to \((-y, x)\).
Now, applying this transformation to the point \((5, 8)\):
1. Identify \(x\) and \(y\):
- \(x = 5\)
- \(y = 8\)
2. Apply the transformation:
\[
(-y, x) = (-8, 5)
\]
Therefore, after rotating the point (5, 8) 270 degrees clockwise, the new coordinates are \((-8, 5)\).
First, it's important to note that a 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation. We can apply the following transformation for a 90-degree counterclockwise rotation:
- The point \((x, y)\) will transform to \((-y, x)\).
Now, applying this transformation to the point \((5, 8)\):
1. Identify \(x\) and \(y\):
- \(x = 5\)
- \(y = 8\)
2. Apply the transformation:
\[
(-y, x) = (-8, 5)
\]
Therefore, after rotating the point (5, 8) 270 degrees clockwise, the new coordinates are \((-8, 5)\).
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