To rotate a point 90° counterclockwise around the origin, you can apply the following rule to each point's coordinates:

$(x, y) \rightarrow (-y, x)$

Now, let's apply this rule to each vertex:

1. J (-8, 3): $(-8, 3) \rightarrow (-3, -8)$ The new coordinates for $J'$ are $(-3, -8)$.

2. K (-8, 9): $(-8, 9) \rightarrow (-9, -8)$ The new coordinates for $K'$ are $(-9, -8)$.

3. L (-2, 0): $(-2, 0) \rightarrow (0, -2)$ The new coordinates for $L'$ are $(0, -2)$.

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

• $J' (-3, -8)$
• $K' (-9, -8)$
• $L' (0, -2)$

Would you like further details on this rotation process, or have any questions?

Here are 5 related questions for further exploration:

1. How would the coordinates change for a 180° rotation around the origin?
2. What is the general rule for rotating a point by 270° counterclockwise?
3. How would the shape look if we reflected it over the x-axis instead of rotating it?
4. Can you generalize a rule for rotating points by any angle $\theta$ counterclockwise?
5. How does rotating around a point other than the origin affect the transformation?

Tip: When rotating points, always think of the axis as a reference. A 90° counterclockwise rotation means the x-coordinate becomes the negative of the y-coordinate, and the y-coordinate becomes the original x-coordinate.