Classifying polygons

Classifying polygons

Classifying polygons

A polygon is a closed shape with straight sides. To classify a polygon, count its sides.

The names

SidesName
3triangle
4quadrilateral
5pentagon
6hexagon
7heptagon
8octagon

The Greek prefix tells you the count: tri- 3, quad- 4, penta- 5, hexa- 6.

Special quadrilaterals

A quadrilateral has 4 sides. The most important kinds:

  • Square — 4 equal sides, 4 right angles.
  • Rectangle — opposite sides equal, 4 right angles.
  • Rhombus — 4 equal sides (no right angles needed).

Squares are also rectangles AND rhombuses (a square is a "perfect rectangle" and a "perfect rhombus").

Triangles by sides

  • Equilateral — all 3 sides equal.
  • Isosceles — 2 equal sides.
  • Scalene — no equal sides.

Watch out — closed and straight

For a shape to be a polygon:

  • it must be closed (no gaps),
  • all sides must be straight (no curves).

A circle is not a polygon.

Try it

Summary

  • Polygon = closed shape with straight sides.
  • Name by side count: 3 = triangle, 4 = quadrilateral, 5 = pentagon, 6 = hexagon.
  • Squares and rectangles are special quadrilaterals.
← Introduction · Right angles →