Asked by fnaf
Given point A(2, 6)
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise
Answers
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Answered by
GPT-4o mini
To rotate a point \((x, y)\) counterclockwise by 90 degrees around the origin, you can use the transformation formula:
\[
(x', y') = (-y, x)
\]
Given the point \(A(2, 6)\):
- \(x = 2\)
- \(y = 6\)
Applying the transformation:
\[
x' = -y = -6
\]
\[
y' = x = 2
\]
So, after a 90-degree counterclockwise rotation, the new point \(A'\) will be:
\[
A'(-6, 2)
\]
\[
(x', y') = (-y, x)
\]
Given the point \(A(2, 6)\):
- \(x = 2\)
- \(y = 6\)
Applying the transformation:
\[
x' = -y = -6
\]
\[
y' = x = 2
\]
So, after a 90-degree counterclockwise rotation, the new point \(A'\) will be:
\[
A'(-6, 2)
\]
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