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.