https://file.aiquickdraw.com/mathbot/file/1728435031120ar94g3zx.jpg

In the given image, the problem asks to describe the one-step transformation of the figure \( CJMK \) into \( C'J'M'K' \). Let’s analyze the transformation:

### Observation:
- The figure \( CJMK \) and its transformed version \( C'J'M'K' \) appear to be congruent.
- The figures seem to have been rotated because the orientation of the points has changed.
- The points are not just translated (shifted), as their relative positions are rotated around a center.

### Identifying the Transformation:
Upon closer inspection, the transformation appears to be a **rotation** about the origin \((0,0)\).

### Step-by-Step Analysis:
- The pre-image \( CJMK \) is rotated to match the orientation of the image \( C'J'M'K' \).
- By analyzing the graph, it seems that the rotation is **90 degrees clockwise** around the origin.
  
### Verification:
1. **Point C** is at \( (-1, 1) \), and after the transformation \( C' \) is at \( (1, 1) \), which is consistent with a 90-degree clockwise rotation.
2. Similarly, the other points of the figure \( CJMK \) also follow this rule for a 90-degree clockwise rotation.

Thus, the transformation that maps \( CJMK \) to \( C'J'M'K' \) is a **rotation of 90 degrees clockwise about the origin**.

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Would you like further clarification or details on this problem? Here are some related questions you might find helpful:

1. How do you determine the center of rotation for any geometric transformation?
2. What are the properties of a 90-degree clockwise rotation?
3. How can you differentiate between rotation, reflection, and translation?
4. What are some examples of real-life applications of geometric transformations?
5. Can this transformation be performed algebraically using matrix operations?

**Tip**: Always verify the nature of the transformation by checking the positions of key points before and after the transformation.

Describe the one-step transformation of CJKM. Be sure to indicate the degree of rotation, the axis of reflection, or how the figure was translated.

This problem involves describing the transformation of figure CJKM through a 90-degree clockwise rotation about the origin. It explores key geometric concepts such as rotations, congruency, and transformation rules, making it ideal for students in Grades 8-10.

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