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To determine the coordinates of point \( J' \) after a 90° clockwise rotation, we apply the transformation rule for a 90° clockwise rotation around the origin, which is:

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

Given that the original coordinates of point \( J \) are \( (-4, 5) \), we substitute them into the rule:

\[
(x, y) = (-4, 5) \quad \Rightarrow \quad (y, -x) = (5, 4)
\]

Thus, the coordinates of point \( J' \) after the rotation are \( (5, 4) \).

The correct answer is \( \boxed{(5, 4)} \).

Would you like further clarification on this? Here are some related questions you might find useful:

1. How do you rotate a point 180° clockwise around the origin?
2. What is the transformation rule for a 90° counterclockwise rotation?
3. How do you perform a reflection across the x-axis?
4. What is the general formula for rotating any point about the origin by \( \theta \) degrees?
5. Can you determine the coordinates of points \( K' \) and \( L' \) after the same rotation?

**Tip:** When rotating points, always remember the transformation rules for common angles like 90°, 180°, and 270°.

What are the coordinates of point J' after a 90° clockwise rotation around the origin in triangle JKL?

Learn how to calculate the new coordinates of point J after a 90° clockwise rotation around the origin. This problem involves key concepts in coordinate geometry and rotations, suitable for students in Grades 7-9.

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