The problem asks to find the coordinates of the vertices $F$, $G$, and $H$ after a 90° counterclockwise rotation about the origin.

Step 1: Identify the initial coordinates of the vertices.

From the graph, the coordinates of the vertices are:

• $F (-8, 10)$
• $G (2, 10)$
• $H (-8, 0)$

Step 2: Apply the 90° counterclockwise rotation formula.

When a point $(x, y)$ is rotated 90° counterclockwise around the origin, the new coordinates $(x', y')$ are given by: $(x', y') = (-y, x)$ This means:

• The new $x'$-coordinate is the negative of the original $y$-coordinate.
• The new $y'$-coordinate is the original $x$-coordinate.

Step 3: Calculate the new coordinates.

• For $F (-8, 10)$: $F' = (-10, -8)$
• For $G (2, 10)$: $G' = (-10, 2)$
• For $H (-8, 0)$: $H' = (0, -8)$

Final Coordinates After Rotation:

• $F' (-10, -8)$
• $G' (-10, 2)$
• $H' (0, -8)$

Would you like further clarification on the rotation process or a different topic?

Here are some related questions for further practice:

1. What is the rule for rotating points 180° around the origin?
2. How would the coordinates change after a 270° clockwise rotation?
3. How do you reflect a point across the x-axis and y-axis?
4. How can you find the coordinates of a point after a translation?
5. How do you perform a dilation of a point with respect to the origin?

Tip: When performing a transformation like rotation, it helps to visualize or sketch the new positions of the points on the graph!