Polygons
Closed shapes with straight sides; regular polygons have equal sides and angles.
Key idea
Closed shapes with straight sides; regular polygons have equal sides and angles.
In depth
A polygon is a closed shape of straight sides. Regular polygons have all sides and angles equal. Polygons are named by the number of sides: pentagon 5, hexagon 6, octagon 8. A polygon can be convex or concave.
Worked example
A regular hexagon has 6 equal sides and 6 equal angles.
Real-world uses
- Designing honeycomb-like patterns, stop signs and floor tiles
- Modelling shapes in computer games
Common mistake
Assuming equal sides alone make a polygon regular; a rhombus has equal sides but unequal angles.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Polygons?
Closed shapes with straight sides; regular polygons have equal sides and angles. It is a topic at the intermediate level in Geometry.
Where is Polygons used in real life?
Real-world examples: Designing honeycomb-like patterns, stop signs and floor tiles; Modelling shapes in computer games.
What should I learn before Polygons?
Make sure you are comfortable with Quadrilaterals, the previous topic in Geometry.
What is a common mistake with Polygons?
Assuming equal sides alone make a polygon regular; a rhombus has equal sides but unequal angles.
How can I practise Polygons?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Polygons?
Move on to Interior Angles of Polygons next.
Related intermediate topics in Geometry
- Vertical Angles – Opposite angles formed by intersecting lines are equal.
- Parallel Lines and Transversals – Corresponding and alternate interior angles are equal.
- Exterior Angle Theorem – An exterior angle equals the sum of the two remote interior angles.
- Triangle Inequality – Any two sides sum to more than the third.
- Congruent Triangles – Same shape and size: SSS, SAS, ASA, AAS, HL.
- Similar Triangles – Same shape, proportional sides: AA, SAS~, SSS~.