https://file.aiquickdraw.com/mathbot/file/17290493456966sq97j96.jpg

To solve this problem, we need to rotate the triangle 90° clockwise around the origin and find the new coordinates of the vertices \( B' \), \( C' \), and \( D' \).

### Steps for 90° Clockwise Rotation:
When you rotate a point \( (x, y) \) by 90° clockwise around the origin, the new coordinates become \( (y, -x) \).

Let's find the current coordinates of points \( B \), \( C \), and \( D \) from the graph:

- \( B \) is at \( (-8, -4) \).
- \( C \) is at \( (-8, 4) \).
- \( D \) is at \( (4, -4) \).

### Applying the Rotation:
1. **For point \( B (-8, -4) \):**
   - New coordinates: \( (y, -x) = (-4, 8) \).
   - So, \( B' = (-4, 8) \).

2. **For point \( C (-8, 4) \):**
   - New coordinates: \( (y, -x) = (4, 8) \).
   - So, \( C' = (4, 8) \).

3. **For point \( D (4, -4) \):**
   - New coordinates: \( (y, -x) = (-4, -4) \).
   - So, \( D' = (-4, -4) \).

### Final Rotated Coordinates:
- \( B' = (-4, 8) \)
- \( C' = (4, 8) \)
- \( D' = (-4, -4) \)

Would you like further clarification on the rotation process? 

Here are 5 related questions to further expand your understanding:
1. What are the general rules for rotating a point by 180° or 270° around the origin?
2. How would you rotate a point counterclockwise instead of clockwise?
3. How do transformations like reflection or dilation differ from rotation?
4. Can you explain how the distance between points changes after rotation?
5. How does rotating a point affect its quadrant position?

**Tip:** Always remember, for a 90° clockwise rotation, the rule is \( (x, y) \rightarrow (y, -x) \).

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

Learn how to find the new coordinates of a triangle's vertices after a 90° clockwise rotation around the origin. Using the formula (x, y) → (y, -x), this problem helps students understand geometric transformations. Suitable for students in Grades 8-10.

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