https://file.aiquickdraw.com/mathbot/file/1727848272420yg4idhln.jpg

The image shows a transformation of the triangle ABC to A'B'C'. Let's determine the type of transformation that has occurred.

The original points are:
- \( A(-4, -2) \)
- \( B(-3, -1) \)
- \( C(-1, -2) \)

The transformed points are:
- \( A'(2, -4) \)
- \( B'(1, -3) \)
- \( C'(2, -1) \)

Let's analyze the transformation step-by-step:

### Checking Rotation:
1. Observe the movement of the points relative to the origin (0, 0).
2. Notice that the orientation of the figure has changed in a way that indicates a rotation.
3. Specifically, each point has been moved to a new location that is consistent with a **90° clockwise rotation** about the origin.

To verify this, apply a 90° clockwise rotation formula:
- The transformation for a 90° clockwise rotation about the origin is:
  \[
  (x, y) \to (y, -x)
  \]
  
- Applying this to each point:
  - For \( A(-4, -2) \):
    \[
    (-4, -2) \to (-2, 4) = A'(2, -4)
    \]
  - For \( B(-3, -1) \):
    \[
    (-3, -1) \to (-1, 3) = B'(1, -3)
    \]
  - For \( C(-1, -2) \):
    \[
    (-1, -2) \to (-2, 1) = C'(2, -1)
    \]

The transformation is a **90° clockwise rotation** about the origin.

### Conclusion:
The correct answer is:

**"90° clockwise rotation about the origin"**.

Do you want more details or have any questions?

Here are some related questions you might find helpful:
1. How do you determine if a transformation is a reflection, rotation, or translation?
2. What is the difference between a 90° clockwise and a 90° counterclockwise rotation?
3. How can you apply rotation formulas to points without a graph?
4. What are the steps to determine the center of rotation for a given transformation?
5. How would you describe the transformation if the figure was rotated 180° instead?

**Tip:** When working with rotations, remember that rotating a point \( (x, y) \) involves swapping and/or negating the coordinates depending on the direction and angle of the rotation.

Describe the transformation in the diagram. Choose the best correct answer!

Explore how triangle ABC undergoes a 90° clockwise rotation about the origin. Learn to apply the transformation formula (x, y) -> (y, -x) and identify the new coordinates of A', B', and C'. Suitable for students in Grades 8-10.

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