To solve this problem, we need to perform a 90-degree clockwise rotation of the vertices $B$, $C$, and $D$ around the origin.

The formula to rotate a point $(x, y)$ 90 degrees clockwise around the origin is:

$(x', y') = (y, -x)$

Now let's apply this to each vertex:

Coordinates Before Rotation:

• B: $(-6, -6)$
• C: $(-8, -2)$
• D: $(-2, -8)$

Apply the Rotation:

1. For $B$ (-6, -6): $(x', y') = (-6, 6)$ So, $B' = (-6, 6)$.

2. For $C$ (-8, -2): $(x', y') = (-2, 8)$ So, $C' = (-2, 8)$.

3. For $D$ (-2, -8): $(x', y') = (-8, 2)$ So, $D' = (-8, 2)$.

Final Coordinates After 90° Clockwise Rotation:

• $B' = (-6, 6)$
• $C' = (-2, 8)$
• $D' = (-8, 2)$

Would you like more details on the rotation process or have any questions?

Here are 5 related questions you might explore:

1. How do you rotate points 90° counterclockwise instead of clockwise?
2. How would the coordinates change after a 180° rotation?
3. What is the effect of a reflection across the y-axis on the coordinates of the vertices?
4. How would the transformation differ if rotating around a different point rather than the origin?
5. How can you find the center of rotation if it’s not the origin?

Tip: When rotating clockwise, always switch the x and y coordinates and negate the original x-coordinate.