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Practical Geometry

IMO Maths · Class 6

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TOPIC 17 OF 17 · LAST CHAPTER!

Practical Geometry ✏️

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!

🧰

Part 1 · Tools of Geometry

Part 2 · Drawing a Circle

Part 3 · Bisecting

📝

Final Mock Test

1

Tools of Geometry 🧰

Each tool has one main job — knowing which one to reach for is half the battle.

ToolWhat it's for
Rulerdrawing and measuring straight lines
Compassdrawing circles and arcs, and copying an exact length
Protractormeasuring and drawing angles in degrees
Dividercomparing the lengths of two line segments
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Game 1 — Match the Tool

2

Drawing a Circle ⭕

The compass's pointed end sits at the centre; the pencil end is opened out to exactly the radius.

🪜 The steps

  1. Mark the centre point where the compass needle will sit.
  2. Open the compass so the gap between the needle and pencil equals the radius you want.
  3. Holding the needle firmly in place, turn the compass all the way around once.
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Game 2 — Set the Compass

3

Bisecting a Line or an Angle ➗

"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.

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A perpendicular bisector of a line segment does two jobs at once: it passes through the exact MIDPOINT, and it crosses at exactly 90°.

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Game 3 — Bisect the Angle

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Game 4 — Odd One Out

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Final Mock Test — You've Reached the Last Chapter!

12 questions mixing tools, circles and bisecting. Finish this and the whole IMO Class 6 book is complete! 🎉

← PREVIOUS

Symmetry 🦋

🎉 ALL DONE!

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