Use a ruler with millimeter scale and a compass set at fixed radius values to sketch four-edge polygons with side lengths between 4–8 cm. Keep angle checks near 90°, 60°, and 120° through a transparent protractor to control symmetry across parallel segments.
Apply grid paper with 5 mm spacing for spacing control. Mark vertices using pencil hardness HB–B to reduce smudge while keeping line contrast. Parallel lines gain accuracy through a straightedge aligned to grid rows, while perpendicular edges stay stable by anchoring a set square.
Rotate paper by 90° after each figure to compare edge alignment under alternate orientation. Verify diagonal equality within ±1 mm for rectangular forms and bisected diagonal crossing for diamond-style shapes. Replace worn compass tips once point drift exceeds 0.5 mm over 6 cm span.
Four-Side Shape Draft Pages
Set compass radius at 5 cm and draw two intersecting arcs to mark opposite corners for a four-edge polygon. Connect marks through a straightedge, then confirm parallel pairs with a 30–60–90 set square.
Keep interior corner values within 60°–120° using a transparent protractor. Measure all segments; accept variance below 1 mm. For box-style figures, match diagonal lengths inside ±0.5 mm to confirm symmetry.
Use grid paper with 5 mm spacing for alignment. Place light construction lines in HB, finalize borders in B. Rotate sheet by 90° after each draft to reveal skew.
Record side measures and angle values near edges. Add tick marks on parallel pairs and identical segments to support later checks.
Drawing Squares Using Ruler and Compass Steps
Set a straightedge to draw a baseline measuring 6 cm. Fix compass span to this value and place one needle on a baseline endpoint. Mark an arc above a segment.
Hold a right-angle guide at a baseline endpoint and draw a vertical ray. From a second endpoint, repeat arc placement to meet a vertical ray at an upper point.
Link upper marks with a straightedge to form a top border. Check all sides with a metal ruler; accept deviation below 1 mm.
Confirm corner values using a transparent angle gauge; each reading must show 90°. Add tick marks on identical edges to support later checks.
Building Rectangles from Given Side Lengths
Mark a base segment of 8 cm using a steel ruler. Fix compass span to 5 cm and set an arc from one endpoint above a baseline.
Place a right-angle guide at a same endpoint, trace a vertical ray, then transfer a 5 cm measure upward to define a first corner.
Copy an 8 cm span from an upper point toward a parallel direction to locate a second corner. Connect this mark with an opposite base endpoint.
Verify parallel borders with a transparent set square. Accept gap under 1 mm. Label opposite edges with matching ticks to track equal measures.
Forming Rhombi with Fixed Diagonal Measures
Draw a straight segment of 10 cm as a first cross line. Mark a midpoint at 5 cm using a ruler scale.
Place a protractor at a midpoint and trace a perpendicular ray. Measure 6 cm upward and 6 cm downward to define two opposite corners.
Set a compass span to 5 cm and swing arcs from upper and lower corners to meet on each side of a center mark.
Link all four corners with a sharp pencil. Check equal edge length with a 5 cm compass span; mismatch above 1 mm signals a redo.
Creating Kites from Two Pairs of Adjacent Sides
Draw a baseline of 8 cm with a ruler and label both ends.
Set a compass to 5 cm and mark an arc from a left endpoint. Shift span to 6 cm and trace another arc from a right endpoint. Arc crossing points define an upper corner.
Repeat arc work beneath a baseline to place a lower corner. Keep both crossings symmetric to avoid tilt above 2°.
Link endpoints with a sharp pencil. Verify side pairs using compass spans of 5 cm and 6 cm; gaps above 1 mm signal redraw.
Checking Angle Accuracy with Protractor Marks
Place a clear 180° gauge so a center hole aligns with a vertex and a baseline rides along one edge.
- Read an interior measure; accept values within ±1° of a target.
- Mark tick points at 90°, 60°, or 120° using a fine pencil.
- Trace a short guide ray through each tick to compare edge direction.
- Repeat at all corners; keep a log of readings.
Adjust lines that miss a tick by more than 1° using ruler alignment, then recheck.
- Right-angle corners should sit on 90° marks.
- Opposite corners with equal targets must match within 1°.
- Skew beyond 2° calls for redraw.