Question
rotating a point 90 degrees clockwise around the origin
Answers
GPT-4o mini
To rotate a point \( (x, y) \) 90 degrees clockwise around the origin, you can use the following transformation:
\[
(x', y') = (y, -x)
\]
Here, \( (x', y') \) is the new location of the point after the rotation.
### Example:
If you have a point \( (3, 4) \):
1. Apply the transformation:
- \( x' = y = 4 \)
- \( y' = -x = -3 \)
So, the rotated point will be \( (4, -3) \).
If you have another point, just apply the same conversion to obtain its new position after a 90-degree clockwise rotation.
\[
(x', y') = (y, -x)
\]
Here, \( (x', y') \) is the new location of the point after the rotation.
### Example:
If you have a point \( (3, 4) \):
1. Apply the transformation:
- \( x' = y = 4 \)
- \( y' = -x = -3 \)
So, the rotated point will be \( (4, -3) \).
If you have another point, just apply the same conversion to obtain its new position after a 90-degree clockwise rotation.