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The task involves rotating the triangle defined by the points \( F \), \( G \), and \( H \) 90° counterclockwise around the origin. 

The coordinates of the original points are:
- \( F(-8, 8) \)
- \( G(2, 10) \)
- \( H(-6, 0) \)

The formula to rotate a point \( (x, y) \) 90° counterclockwise around the origin is:
\[
(x', y') = (-y, x)
\]

### Now let's apply this transformation to each point:

1. **For point \( F(-8, 8) \):**
   \[
   (x', y') = (-8, -8)
   \]
   So the new coordinates of \( F \) are \( (-8, -8) \).

2. **For point \( G(2, 10) \):**
   \[
   (x', y') = (-10, 2)
   \]
   So the new coordinates of \( G \) are \( (-10, 2) \).

3. **For point \( H(-6, 0) \):**
   \[
   (x', y') = (0, -6)
   \]
   So the new coordinates of \( H \) are \( (0, -6) \).

### Final coordinates after the rotation:
- \( F'(-8, -8) \)
- \( G'(-10, 2) \)
- \( H'(0, -6) \)

Would you like more details or have any other questions?

Here are 5 related questions to explore further:
1. What happens to the coordinates when rotating 180° around the origin?
2. How would the coordinates change after a 90° clockwise rotation?
3. What is the general formula for rotating any point by an arbitrary angle around the origin?
4. How do reflections across the x-axis or y-axis affect point coordinates?
5. What transformations leave a shape unchanged (identity transformations)?

**Tip:** When performing rotations, always verify if the rotation direction is clockwise or counterclockwise, as it affects the transformation rules.

Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

Learn how to calculate the new coordinates of triangle vertices after a 90° counterclockwise rotation around the origin. Apply the rotation formula (-y, x) to the points F(-8, 8), G(2, 10), and H(-6, 0). Suitable for Grades 8-10.

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