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 clockwise
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise
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Answered by
GPT-4o mini
To rotate a point 90 degrees clockwise around the origin, you can use the following transformation formula:
If the point is \( (x, y) \), after a 90-degree clockwise rotation, the new coordinates will be \( (y, -x) \).
For point \( A(2, 6) \):
- \( x = 2 \)
- \( y = 6 \)
Applying the transformation:
\[
(x', y') = (y, -x) = (6, -2)
\]
So, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be at the new location \( (6, -2) \).
If the point is \( (x, y) \), after a 90-degree clockwise rotation, the new coordinates will be \( (y, -x) \).
For point \( A(2, 6) \):
- \( x = 2 \)
- \( y = 6 \)
Applying the transformation:
\[
(x', y') = (y, -x) = (6, -2)
\]
So, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be at the new location \( (6, -2) \).
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