Geometry
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Geometry is the study of shapes, space and the relationships between them. It helps us understand angles, distances, areas, volumes and patterns found in both nature and everyday life. Geometry plays a major role in design, engineering, architecture, physics and many other fields.
This page introduces the key areas of geometry and links to free, accessible learning resources including games, worksheets and practice materials.
Start Learning Geometry
Introduction to Geometry
A clear overview of what geometry is, why it’s useful and how it connects to real-world structures and problem solving.
Basic Geometric Terms
Covers points, lines, line segments, rays and the types of angles used throughout geometry.
Basic Shapes and Figures
Introduces triangles, quadrilaterals, polygons and circles, along with their core properties.
Perimeter and Area
Explains how to calculate the perimeter and area of common 2D shapes.
Symmetry
Covers line symmetry and rotational symmetry with simple examples.
Intermediate Geometry
Angles
Explains angle types, angle pairs, how to measure angles and how to calculate missing angles.
Triangles
Covers triangle types, key properties, and the Pythagorean theorem.
Quadrilaterals
Introduces squares, rectangles, parallelograms, trapezoids and rhombuses with their formulas.
Polygons
Explains regular and irregular polygons, interior and exterior angle sums.
Circles
Covers radius, diameter, circumference, area, chords, tangents and sectors.
Transformations
Introduces translations, rotations, reflections and dilations and how they change shapes.
Advanced Geometry
Solid Geometry
Covers 3D shapes such as prisms, pyramids, cylinders, cones and spheres.
Surface Area and Volume
Explains how to calculate the surface area and volume of common 3D solids.
Nets of 3D Shapes
Shows how 3D shapes unfold into nets and how nets help visualise structure.
Advanced Triangle & Circle Theorems
Covers triangle centres (centroid, orthocenter, circumcenter, incenter) and important circle theorems.
Coordinate Geometry
Introduces plotting points, distance and midpoint formulas, and equations of lines.
Geometry Resources
Geometry Games
Interactive tools and games focused on angles, shapes, symmetry and spatial reasoning.
Geometry Worksheets
Downloadable worksheets, editable resources and worksheet generators.
Optional Next Steps
These topics help extend understanding once the basics are secure:
- Practical Applications of Geometry – Architecture, engineering, art and design.
- Geometry in Careers – How geometry appears in technical and creative fields.
- Practice & Challenges – Mixed geometry problems and puzzles.