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).