https://file.aiquickdraw.com/mathbot/file/1728405992091l5sju6ov.jpg

Let's match the images to the steps in the construction process based on the provided instructions.

Here are the matches for the steps:

1. **Step 1**: Place the compass point on \( P \), make an arc that crosses the given line twice. Name those intersections \( X \) and \( Y \).  
   - **Image: e**
  
2. **Step 2**: Change the compass setting to a larger radius.  
   - **Image: d** (This image shows the compass tool, indicating the adjustment of the radius.)

3. **Step 3**: Place the compass point at \( X \). Make an arc above point \( P \).  
   - **Image: c**

4. **Step 4**: Keep the same compass setting. Place the point on \( Y \) and make an arc above point \( P \). Name the intersection \( Z \).  
   - **Image: b**

5. **Step 5**: Use the straightedge to connect \( P \) and \( Z \).  
   - **Image: a**

If you have any questions or want further details, feel free to ask!

### Related Questions:
1. How does adjusting the radius in Step 2 affect the construction?
2. What is the purpose of creating the arcs above point \( P \)?
3. Why is the intersection \( Z \) important in geometric constructions?
4. How would the process change if the compass setting is not large enough in Step 4?
5. Can this method be used to construct perpendicular bisectors?

**Tip:** When constructing geometric shapes, ensuring precise measurements with the compass and straightedge is key for accuracy!

Match the pictures of the construction to its steps.

Learn how to match the steps of compass constructions with their corresponding arcs. This activity involves identifying points and drawing arcs using compass and straightedge techniques, suitable for geometry students in grades 7-9.

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