1. The problem is to match each construction step with the corresponding picture.
2. Step 1 says: "Place the compass point on P, make an arc that crosses the given line twice. Name those intersections X and Y." This matches picture (a) because it shows an arc centered at P crossing the line at X and Y.
3. Step 2 says: "Change the compass setting to a larger radius." This corresponds to picture (b) where the arc is larger, still centered at P, crossing at X and Y.
4. Step 3 says: "Place the compass point at X. Make an arc above point P." Picture (c) shows a smaller arc centered at X crossing the line at X and P, matching this step.
5. Step 4 says: "Keep the same compass setting. Place the point on Y and make an arc above point P. Name the intersection Z." Picture (e) shows an arc intersecting the line at Y and a point Z above the line, matching this step.
6. Step 5 says: "Use the straightedge to connect P and Z." Picture (d) is an image of a compass tool, so it does not match this step. The step involves drawing a line, which is not shown explicitly in the pictures, so the best match is the straightedge tool implied but not pictured.
Summary of matches:
- Step 1: picture (a)
- Step 2: picture (b)
- Step 3: picture (c)
- Step 4: picture (e)
- Step 5: no direct picture, but involves straightedge connecting P and Z
This completes the matching of construction steps to pictures.
Construction Matching B86005
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.