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.