Pick a lane
20 points, about an hour. Two versions. You only submit one.
- Option 1, independent: answer the three evaluate questions, then construct a segment or an angle and bisect it. Write how that bisect compares to the other figure (segment vs angle).
- Option 2, with a partner: same three evaluate questions. One of you constructs a segment, the other an angle. Trade. You both copy them, or you both bisect them. Then write how copy-segment compares to copy-angle, or how the two bisects compare.
This segment needs one collaboration somewhere. If you have not partnered yet, option 2 covers it. You will also submit the Collaboration Component form.
Print the Canvas directions. This page is coaching, not the assignment dropbox.
Question 1: which bisector is legal
Canvas shows two angle-bisector drawings. You say which one followed the steps, and which step the other one broke.
A legal angle bisector has all of these:
- An arc from the vertex that cuts both rays.
- Two inner arcs, same compass width, swung from those two hits (not from the vertex again).
- A ray from the vertex through the inner crossing.
Legal
Inner arcs come from the two hits on the first arc. Same width. Ray through their crossing.
Broken
The second arc was swung from the vertex again, and the width changed. The ray misses a fair inner crossing.
When you write it up, name the broken step in construction language: “the compass was not kept at the same width,” or “the inner arcs were not swung from the intersection points on the first arc.”
Question 2: which student has the order
Given line AB and point C off the line. Construct a parallel to AB through C. Two students listed steps. One list is scrambled.
The legal order is copy-the-angle:
- Draw a line through B and C (the transversal).
- Compass on B. Arc that cuts AB and BC. Hits D and E.
- Same width, compass on C. Arc that cuts BC. Hit F.
- Open the compass to DE.
- Same width, compass on F. Arc that cuts the arc from C. Call the cut G.
- Line through C and G.
The scrambled list does the same moves in the wrong order: it tries to open the compass to DE before D and E exist, or it draws CG before G exists.
When you write it, do not only say “Student B is right.” Point at the first step that is impossible (using points that have not been created yet).
Break it down for me
You cannot “open to DE” until the first arc has made D and E. You cannot “draw CG” until the second pair of arcs has made G. Scan each student’s list for a step that names a point the previous steps never created.
Question 3: name the inscribed polygon
Canvas shows a circle with two diameters (AC and DB) and extra arcs off one of those diameters.
That is a square in progress. The second diameter is being built as the perpendicular bisector of the first. Four hits on the circle, then connect them.
If it had been a hexagon or an equilateral triangle you would see six equal ticks around the rim, no diameters required. Six ticks plus every-other connections = triangle. All six connected = hexagon.
Write how you know: “two diameters that look perpendicular, arcs from the endpoints of one diameter” is enough.
Your own construction
Independent: construct a segment or an angle, then bisect it. Then compare.
Copy vs bisect, segment vs angle, same tools:
- Same: compass + straightedge, lock a width, find a point where two arcs meet.
- Copy a segment: one width (the segment itself) and one arc on a new ray.
- Copy an angle: two widths (vertex-arc, then the chord).
- Bisect a segment: same width from both endpoints, arcs on both sides, line through the crossings. Also perpendicular.
- Bisect an angle: one vertex-arc, then two inner arcs from the hits, ray from the vertex.
Partner version: you both copy, or you both bisect. Do not mix. The compare paragraph is copy-segment vs copy-angle, or bisect-segment vs bisect-angle.
Paint is not allowed. A dynamic drawing program is. Compass on paper is fine.
What to turn in
- Answers to the three evaluate questions (which drawing, which student, which polygon, with the because).
- Your construction (photo or export) plus the compare paragraph. Partner option: both constructions plus the shared paragraph.
- Written part in a doc or pasted into the assignment box.
- If you chose option 2: Collaboration Component form, and the Segment One Collaboration assignment.
Open the matching rubric in Canvas before you submit. This hub will not score it.