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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.

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

Learn how to calculate the new coordinates of vertices after a 90° counterclockwise rotation around the origin. This problem involves transformations and coordinate geometry concepts, suitable for students in Grades 8-10.

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