Thanks for the clarification regarding the coordinates for $C$. Let's determine the correct coordinates for $C'$ after a 90-degree counterclockwise rotation, considering the correction you've mentioned.

Given Coordinates

• Original coordinates for point $C$: $(0, -3)$

Applying 90-Degree Counterclockwise Rotation

For a 90-degree counterclockwise rotation around the origin, the transformation rules are:

• If the original point is $(x, y)$, the new point $(x', y')$ after the rotation will be $(-y, x)$.

Applying these rules to point $C$:

• Original coordinates of $C$: $(0, -3)$
• Rotated coordinates for $C'$: $(3, 0)$

Conclusion

After performing a 90-degree counterclockwise rotation on point $C(0, -3)$, the correct coordinates for $C'$ are $(3, 0)$.

Would you like more details or have any other questions?

Here are some related questions you might find interesting:

1. How do you perform a rotation of 90 degrees clockwise on a coordinate plane?
2. What are the transformation rules for a 270-degree counterclockwise rotation?
3. Can you provide examples of reflections across different axes?
4. How do you determine the rotation angle from one set of coordinates to another?
5. What are the differences between rigid transformations and non-rigid transformations?

Tip: When working with coordinate rotations, it's always helpful to double-check the direction (clockwise or counterclockwise) to ensure the correct transformation is applied.