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The problem asks for the coordinates of the point \( C(-3, 2) \) after it is rotated 270° clockwise around the origin.

### Rotation by 270° clockwise rule:
When a point \( (x, y) \) is rotated 270° clockwise around the origin, the coordinates transform as follows:
\[
(x', y') = (y, -x)
\]

### Applying this rule to the point \( C(-3, 2) \):
The original coordinates are \( (-3, 2) \). Applying the rotation transformation:
\[
(x', y') = (2, 3)
\]

So, the coordinates of the resulting point \( C' \) after the 270° clockwise rotation are \( (2, 3) \).

Would you like more details or explanations on this? Here are 5 related questions you might explore:

1. How do the rotation rules differ for 90°, 180°, and 270° rotations?
2. How can you verify a rotated point using graphing?
3. What is the effect of counterclockwise rotations on point coordinates?
4. How are rotation transformations applied in three-dimensional space?
5. Can we combine multiple rotations and translate the result algebraically?

**Tip:** When rotating a point, remember to carefully apply the rule based on the specific angle and direction of rotation.

The point C(-3, 2) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, C'?

Learn how to rotate the point C(-3, 2) by 270° clockwise around the origin using coordinate transformation rules. This geometry problem is ideal for students in Grades 8-10, covering key concepts like rotation and coordinate transformations.

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