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Basic Geometrical Ideas

IMO Maths · Class 6

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TOPIC 7 OF 17 · MATHEMATICAL REASONING

Basic Geometrical Ideas 📐

Geometry starts with a single dot — a point. Everything else, from a line to a whole circle, is built from a handful of these simple starting ideas.

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Part 1 · Point, Line, Ray

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Part 2 · Polygons

Part 3 · The Circle

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Mock Test

1

Point, Line, Ray & Line Segment 📍

The difference is all about how far each one goes.

TermWhat it is
Pointan exact location — no length, no width
Linegoes on forever in BOTH directions
Raystarts at one point, goes on forever in ONE direction
Line segmenthas two fixed endpoints — a measurable length
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Game 1 — Point, Line, Ray or Segment?

2

Polygons 🔺

A closed shape made only of straight sides is a polygon. Its name tells you exactly how many sides it has.

ShapeSidesVerticesAngles
🔺 Triangle333
🟦 Quadrilateral444
⬠ Pentagon555
⬡ Hexagon666
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Game 2 — Sort by Number of Sides

3

The Circle ⭕

A circle is every point that sits exactly the same distance from ONE fixed centre.

PartWhat it is
Centrethe fixed middle point
Radiuscentre to any point on the circle
Diametera line through the centre, end to end = 2 × radius
Chordany line joining two points on the circle
Circumferencethe distance all the way around
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Game 3 — Radius and Diameter

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Game 4 — Odd One Out

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Basic Geometrical Ideas Mock Test

12 IMO-style questions on points, polygons and circles. 🍀

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