TheLucidSTEM‹ Mathematics simulationsMathematics · IGCSE 0580 · 4.2, 4.3, 4.5 Constructions and symmetry

Constructions, bearings and symmetry

IGCSE Mathematics 0580, topics 4.2, 4.3 and 4.5. Constructing a triangle with ruler and compasses, nets that fold into solids, scale drawings, three-figure bearings, and symmetry in two and three dimensions.

About this lab: Constructions, bearings and symmetry

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 4.2, 4.3 and 4.5: watch a triangle constructed from three sides with a ruler and compasses, fold nets into a cube, cuboid, triangular prism, square-based pyramid and tetrahedron with their surface area, measure between towns on a map to find real distances from the scale, find three-figure bearings and back bearings, count lines and order of rotational symmetry of 2D shapes, and see the planes and axes of symmetry of prisms, pyramids, cylinders and cones.

IGCSE Mathematics 0580, topics 4.2, 4.3 and 4.5. Constructing a triangle with ruler and compasses, nets that fold into solids, scale drawings, three-figure bearings, and symmetry in two and three dimensions.

Constructions, bearings and symmetry is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 4 Geometry, sections 4.2 Geometrical constructions, 4.3 Scale drawings, 4.5 Symmetry). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 6 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

Full syllabus map: IGCSE Mathematics 0580 topic 4.

How to use this simulation

  1. 1. Construct a triangle.
  2. 2. Nets.
  3. 3. Scale drawings.
  4. 4. Bearings.
  5. 5. Symmetry.
  6. 6. Symmetry of solids.
  7. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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