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To solve the problem of rotating point A 180° about the origin, we apply the rotation rule for 180°:

**Rotation of 180° about the origin:**
For any point \((x, y)\), after rotating 180°, the new coordinates become \((-x, -y)\).

Now, let's locate point A on the graph. Point A is currently at \((3, -3)\).

Applying the 180° rotation:
- \(x = 3\) becomes \(-x = -3\)
- \(y = -3\) becomes \(-y = 3\)

Thus, after the rotation, the new coordinates of A' will be \((-3, 3)\).

The correct answer is **\((-3, 3)\)**.

Would you like further explanation or details?

Here are 5 related questions you might find helpful:
1. How do you rotate a point 90° around the origin?
2. What is the rule for a 270° counterclockwise rotation?
3. How do you reflect a point across the x-axis or y-axis?
4. What happens to the coordinates of a point during a reflection over the origin?
5. Can you rotate shapes by angles other than 90°, 180°, and 270°?

**Tip:** When performing rotations, always pay attention to the angle and direction (clockwise or counterclockwise).

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

Learn how to find the coordinates of point A' after a 180° rotation about the origin. This problem explores key concepts in coordinate geometry and rotation transformations, providing a step-by-step solution suitable for Grades 7-9.

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