Question
(9, 5) 270 degrees clockwise
Answers
GPT-4o mini
To rotate the point (9, 5) by 270 degrees clockwise, you can follow these steps:
1. **Convert the Rotation:** A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.
2. **Rotation Formula:** When rotating a point \((x, y)\) counterclockwise by 90 degrees, the new coordinates \((x', y')\) can be calculated as:
\[
x' = -y
\]
\[
y' = x
\]
3. **Applying the Formula:**
- For the point (9, 5):
\[
x' = -5
\]
\[
y' = 9
\]
4. **Resulting Coordinates:** So, after a 270-degree clockwise rotation, the new coordinates will be:
\[
(-5, 9)
\]
Thus, the result of rotating the point (9, 5) by 270 degrees clockwise is \((-5, 9)\).
1. **Convert the Rotation:** A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.
2. **Rotation Formula:** When rotating a point \((x, y)\) counterclockwise by 90 degrees, the new coordinates \((x', y')\) can be calculated as:
\[
x' = -y
\]
\[
y' = x
\]
3. **Applying the Formula:**
- For the point (9, 5):
\[
x' = -5
\]
\[
y' = 9
\]
4. **Resulting Coordinates:** So, after a 270-degree clockwise rotation, the new coordinates will be:
\[
(-5, 9)
\]
Thus, the result of rotating the point (9, 5) by 270 degrees clockwise is \((-5, 9)\).