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Rotate triangle ABC 90 degrees counter clockwise about point o. Label the corresponding points on the image with a’, b’, and c’.

To rotate triangle \(ABC\) 90 degrees counterclockwise around point \(O\), we will use the rules of rotation for coordinates.

For a 90° counterclockwise rotation about the origin:
- The point \((x, y)\) transforms to \((-y, x)\).

### Steps:
1. **Coordinates of the original triangle**:
   - \(A\) is at \((4, 3)\)
   - \(B\) is at \((1, 2)\)
   - \(C\) is at \((3, 1)\)

2. **Apply the 90° counterclockwise rotation**:
   - Point \(A(4, 3)\) becomes \(A'(-3, 4)\)
   - Point \(B(1, 2)\) becomes \(B'(-2, 1)\)
   - Point \(C(3, 1)\) becomes \(C'(-1, 3)\)

### Final coordinates after rotation:
- \(A'(-3, 4)\)
- \(B'(-2, 1)\)
- \(C'(-1, 3)\)

Now, plot these points on the grid to complete the transformation, and label them as \(A'\), \(B'\), and \(C'\).

Would you like a detailed visual explanation of how the rotation affects each point?

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Here are 5 questions to deepen your understanding:
1. How does a 90° clockwise rotation change the coordinates of a point?
2. What would the coordinates of the points be after a 180° rotation?
3. How would the transformation differ if we rotated 90° clockwise instead of counterclockwise?
4. What other transformations can be applied to a triangle besides rotation?
5. What is the significance of the center of rotation in this problem?

**Tip:** When rotating figures, always keep the center of rotation fixed and apply the transformation rules to each point independently.

Rotate triangle ABC 90 degrees counterclockwise about point O. Label the corresponding points on the image with A', B', and C'.

Learn how to rotate triangle ABC 90 degrees counterclockwise about point O. This geometric transformation problem involves the rules of coordinate geometry and rotations. Suitable for middle school students in Grades 6-8.

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