A ruler and a compass, used carefully, can draw a perfect circle, copy an exact length, or split an angle exactly in half — no protractor needed. Finish this chapter and you complete the whole IMO Class 6 book!
Each tool has one main job — knowing which one to reach for is half the battle.
| Tool | What it's for |
|---|---|
| Ruler | drawing and measuring straight lines |
| Compass | drawing circles and arcs, and copying an exact length |
| Protractor | measuring and drawing angles in degrees |
| Divider | comparing the lengths of two line segments |
The compass's pointed end sits at the centre; the pencil end is opened out to exactly the radius.
🪜 The steps
"Bisect" means to cut exactly in half. A compass can find the exact midpoint of a segment, or split an angle into two equal parts, without any measuring.
A perpendicular bisector of a line segment does two jobs at once: it passes through the exact MIDPOINT, and it crosses at exactly 90°.
12 questions mixing tools, circles and bisecting. Finish this and the whole IMO Class 6 book is complete! 🎉