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

the coords are J (-8, 3) k (-8, 9) L (-2, 0) 


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.

Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin. The coords are J (-8, 3) k (-8, 9) L (-2, 0).

Learn how to rotate the vertices J(-8, 3), K(-8, 9), and L(-2, 0) 90° counterclockwise around the origin. This solution explains the formula for rotation transformations and provides a step-by-step guide. Suitable for students in Grades 8-10.

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