Question
(4, 1)
is rotated 90°
counterclockwise
is rotated 90°
counterclockwise
Answers
GPT-4o mini
To rotate the point \((4, 1)\) by \(90^\circ\) counterclockwise around the origin, you can apply the rotation formula:
\[
(x', y') = (-y, x)
\]
Applying this to the point \((4, 1)\):
1. The new \(x\) coordinate will be \(-y\), which is \(-1\).
2. The new \(y\) coordinate will be \(x\), which is \(4\).
Thus, the point \((4, 1)\) after a \(90^\circ\) counterclockwise rotation becomes:
\[
(-1, 4)
\]
So, the final answer is \((-1, 4)\).
\[
(x', y') = (-y, x)
\]
Applying this to the point \((4, 1)\):
1. The new \(x\) coordinate will be \(-y\), which is \(-1\).
2. The new \(y\) coordinate will be \(x\), which is \(4\).
Thus, the point \((4, 1)\) after a \(90^\circ\) counterclockwise rotation becomes:
\[
(-1, 4)
\]
So, the final answer is \((-1, 4)\).