Rotate the figure with points A(2,0), B(-1,-2), and C(2,-2) 180 degrees around the origin. State the points of the image using proper notation and no spaces.

To rotate the figure with points \( A(2,0) \), \( B(-1,-2) \), and \( C(2,-2) \) 180 degrees around the origin, you need to apply the transformation \( (x, y) \) → \( (-x, -y) \) to each point.

- Point \( A(2,0) \) becomes \( A'(-2,0) \).
- Point \( B(-1,-2) \) becomes \( B'(1,2) \).
- Point \( C(2,-2) \) becomes \( C'(-2,2) \).

So, the points of the image are:
- \( A'(-2,0) \)
- \( B'(1,2) \)
- \( C'(-2,2) \)

Would you like more details on how rotations work or have any other questions?

Here are 5 related questions:
1. How would you rotate a point 90 degrees counterclockwise around the origin?
2. What are the coordinates of point \( D(-3,4) \) after a 180-degree rotation around the origin?
3. How does rotating a figure 270 degrees clockwise compare to rotating it 90 degrees counterclockwise?
4. What is the general formula for rotating a point \( (x,y) \) by \( \theta \) degrees around the origin?
5. How does reflecting a point over the y-axis differ from rotating it 180 degrees around the origin?

**Tip:** When rotating a point 180 degrees around the origin, the coordinates simply switch signs.

Explore how to rotate the points A(2,0), B(-1,-2), and C(2,-2) by 180 degrees around the origin. Learn about the coordinate transformation formula (x, y) → (-x, -y) and understand the effects of a 180-degree rotation on the position of points. This problem is ideal for students in Grades 6-8.

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