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Original Question
(3,3) rotated 90 degrees counterclockwise around the originQuestion
(5,1) rotated 90 degrees counterclockwise around the origin
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Answered by
GPT-4o mini
To rotate the point \((5, 1)\) 90 degrees counterclockwise around the origin, you can use the rotation formula. The formula for rotating a point \((x, y)\) by 90 degrees counterclockwise is given by:
\[
(x', y') = (-y, x)
\]
So, for the point \((5, 1)\):
1. \(x' = -y = -1\)
2. \(y' = x = 5\)
Therefore, the coordinates after rotation are:
\[
(-1, 5)
\]
Thus, the point \((5, 1)\) rotated 90 degrees counterclockwise around the origin is \((-1, 5)\).
\[
(x', y') = (-y, x)
\]
So, for the point \((5, 1)\):
1. \(x' = -y = -1\)
2. \(y' = x = 5\)
Therefore, the coordinates after rotation are:
\[
(-1, 5)
\]
Thus, the point \((5, 1)\) rotated 90 degrees counterclockwise around the origin is \((-1, 5)\).
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