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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.

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

Learn how to rotate points 90° clockwise around the origin on a coordinate plane. This geometry problem involves using the formula (x', y') = (y, -x) to transform the vertices. Suitable for students in Grades 7-10.

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