A compass box (also called a geometry box or mathematical instrument box) is a set of drawing instruments used in mathematics, engineering drawing, and technical drawing. It typically contains a compass, divider, ruler, two set squares, a protractor, and sometimes a pencil or pen. Each instrument serves a specific geometric construction or measurement purpose.
Compass box (geometry box) contains: compass, divider, ruler, two set squares, protractor.
Compass: draws circles and arcs.
Divider: measures and transfers distances (two metal points).
Set squares: 30-60-90° and 45-45-90° for drawing angles.
Protractor: measures and draws angles (0°–180°).
Ruler: draws straight lines and measures length.
All six instruments used for geometric constructions in maths.
Standard Contents of a Compass Box:
Compass • Used to draw circles and arcs • Has two arms: one with a sharp metal point (pivot); one with a pencil lead • How to use: Fix the point at the centre, open to the required radius, and rotate to draw the circle • Use: Drawing circles, bisecting angles, constructing perpendicular bisectors
Divider • Similar to compass but has two sharp metal points (no pencil) • Used to measure and compare lengths/distances on paper • Can be used to mark equal segments along a line • Use: Measuring distances between two points on a map or diagram
Ruler (Scale) • A straight-edged measuring tool with cm and mm markings • Usually 15 cm or 30 cm long • Use: Drawing straight lines, measuring lengths
Set Square 1 — 30°-60°-90° (Triangle) • Right-angled triangle with angles 30°, 60°, and 90° • Use: Drawing lines at 30°, 60°, and 90° angles
Set Square 2 — 45°-45°-90° (Triangle) • Isosceles right-angled triangle with angles 45°, 45°, and 90° • Use: Drawing lines at 45° and 90° angles
Protractor • Semicircular or full circular tool with degree markings (0°–180° or 0°–360°) • Use: Measuring and drawing angles
Pencil (sometimes included) • Used with compass for drawing arcs and circles
Why Different Set Squares? • 30-60-90 set square: Used when you need to draw 30° or 60° angles • 45-45-90 set square: Used when you need to draw 45° angles • Together: Can be used to draw 15°, 75°, 105°, 120°, 150° angles by combination
Geometry Constructions Using Compass Box: • Bisecting a line segment — compass + ruler • Bisecting an angle — compass • Drawing a perpendicular from a point — compass + ruler • Constructing a 60° angle — compass + ruler • Drawing a triangle with given measurements — compass + ruler + protractor • Circumscribed and inscribed circles — compass
A compass box (geometry box) contains: (1) Compass — for drawing circles and arcs; (2) Divider — for measuring distances; (3) Ruler (scale) — for straight lines and measurements; (4) Set Square 30-60-90° — for drawing 30° and 60° angles; (5) Set Square 45-45-90° — for drawing 45° angles; (6) Protractor — for measuring and drawing angles. Together these tools are used for all geometric constructions.
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