https://file.aiquickdraw.com/mathbot/file/1726778323485z1xlj39r.jpg

To map Figure L onto Figure M, we need to analyze the transformations that relate these two figures. Let’s break this down step-by-step by considering the geometric transformations:

1. **Rotation**:  
   By observing the orientation of Figure L and Figure M, it seems that Figure M is a rotated version of Figure L. To confirm this:
   - If we rotate Figure L 90 degrees clockwise about the origin, it matches the orientation of Figure M.

2. **Translation**:  
   After rotating Figure L, we notice that Figure M is shifted to the left. Therefore, we would need to translate the rotated figure by a certain distance to match the exact position of Figure M.

### Step-by-Step Transformation:
1. **Rotation**: Rotate Figure L by **90 degrees clockwise** about the origin.
2. **Translation**: After the rotation, translate the figure **9 units left** and **3 units up** to map Figure L onto Figure M.

This sequence of transformations should perfectly align Figure L with Figure M.

Would you like more details, or do you have any questions about this solution?

Here are some related questions to explore:
1. What is the general rule for rotating a point 90 degrees clockwise about the origin?
2. How can you describe the translation of any figure using vectors?
3. What happens if you rotate a figure 180 degrees instead of 90 degrees?
4. How can you identify reflection transformations in coordinate geometry?
5. What other sequences of transformations could map Figure L onto Figure M?

**Tip**: Always check the orientation and position of the figures before deciding on a transformation sequence!

Determine a series of transformations that would map Figure L onto Figure M.

This problem involves transforming Figure L onto Figure M using geometric transformations. Learn how to apply a 90° clockwise rotation about the origin followed by a translation 9 units left and 3 units up. Suitable for Grades 8-10 students.

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