The problem asks to find the coordinates of the vertices after a 90° counterclockwise rotation around the origin.

The original coordinates of the vertices from the graph are:

• $J(-6, 6)$
• $K(2, 4)$
• $L(2, 10)$

For a 90° counterclockwise rotation about the origin, the transformation rule is: $(x, y) \rightarrow (-y, x)$

Now applying this rule to each vertex:

1. For $J(-6, 6)$: $(-6, 6) \rightarrow (-6, -6)$

2. For $K(2, 4)$: $(2, 4) \rightarrow (-4, 2)$

3. For $L(2, 10)$: $(2, 10) \rightarrow (-10, 2)$

Thus, the new coordinates after the 90° counterclockwise rotation are:

• $J'(-6, -6)$
• $K'(-4, 2)$
• $L'(-10, 2)$

Would you like further details or have any other questions?

Here are 5 related questions to expand on this topic:

1. What is the general rule for rotating points 180° or 270° around the origin?
2. How do you perform a rotation clockwise instead of counterclockwise?
3. How would you calculate the rotation around a point other than the origin?
4. What are the applications of rotational transformations in geometry?
5. How can you verify the accuracy of the rotated points on a graph?

Tip: Always double-check the sign changes and axis swapping when applying rotation rules.