Question
(7,-6) rotated 270 degrees clockwise
Answers
GPT-4o mini
To rotate the point \((7, -6)\) 270 degrees clockwise, you can also think of it as a 90 degrees counterclockwise rotation, since 270 degrees clockwise is equivalent to 90 degrees counterclockwise.
The rotation formulas for a point \((x, y)\) through the origin are as follows:
1. 90 degrees counterclockwise: \((-y, x)\)
2. 180 degrees: \((-x, -y)\)
3. 270 degrees clockwise (or 90 degrees counterclockwise): \((-y, x)\)
Applying this transformation to the point \((7, -6)\):
\[
(-(-6), 7) = (6, 7)
\]
So, the point \((7, -6)\) rotated 270 degrees clockwise is \((6, 7)\).
The rotation formulas for a point \((x, y)\) through the origin are as follows:
1. 90 degrees counterclockwise: \((-y, x)\)
2. 180 degrees: \((-x, -y)\)
3. 270 degrees clockwise (or 90 degrees counterclockwise): \((-y, x)\)
Applying this transformation to the point \((7, -6)\):
\[
(-(-6), 7) = (6, 7)
\]
So, the point \((7, -6)\) rotated 270 degrees clockwise is \((6, 7)\).