(6,-6)(8,-6)(5,-7) Write the coordinates of the vertices after a rotation 270° clockwise around the origin.

To perform a 270° clockwise rotation around the origin on a point \((x, y)\), we use the following rule:

\[
(x, y) \rightarrow (y, -x)
\]

Let's apply this to each of the given points:

1. **Point (6, -6)**:
   - After rotation: \((-6, -6)\)

2. **Point (8, -6)**:
   - After rotation: \((-6, -8)\)

3. **Point (5, -7)**:
   - After rotation: \((-7, -5)\)

So, the coordinates of the vertices after a 270° clockwise rotation around the origin are:

- \((-6, -6)\)
- \((-6, -8)\)
- \((-7, -5)\)

Would you like more details or have any questions? 

Here are five related questions you might be interested in:

1. What is the general formula for rotating a point 90° clockwise around the origin?
2. How do you rotate a point counterclockwise around the origin?
3. How does the shape of a triangle change after rotation?
4. What is the difference between rotating a point 180° clockwise and counterclockwise?
5. How can you determine the new coordinates after a 360° rotation?

**Tip:** When rotating points around the origin, always pay close attention to the direction of rotation (clockwise vs. counterclockwise) as it significantly impacts the outcome.

Explore how to rotate points 270° clockwise around the origin with detailed solutions. Understand the geometric concept of rotation in coordinate geometry. Suitable for students in Grades 9-12.

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