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QQ.1 Identify polygons: up to 12 sides

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What are two-dimensional shapes?

Two-dimensional (2D) shapes are flat figures that have length and width, but no thickness. They can be drawn on paper and do not stand up like 3D objects.

Examples:
  • Circle
  • Square
  • Triangle
  • Rectangle
Note

All 2D shapes are flat. If it looks like it can be picked up and has thickness, it is a 3D shape, not 2D.

What are polygons?

Polygons are closed 2D shapes made of straight lines (sides) that connect at points called vertices (corners).

Examples:
  • Triangle โ†’ 3 sides
  • Square โ†’ 4 sides
  • Pentagon โ†’ 5 sides
Note

A polygon must have only straight sides and must be closed. A circle is not a polygon because it has no straight sides.

How to identify polygons

To identify a polygon, count the number of its sides and vertices. Each polygon has the same number of sides and vertices.

Steps:
  • Look for straight sides that connect.
  • Count the sides of the shape.
  • Match the number of sides to the polygonโ€™s name.
Note

When counting, move around the shape carefully so you do not skip or repeat a side.

Common polygons up to 12 sides

Here are the names of polygons based on the number of sides. These are the most common ones you will study:

Polygon List:
  • 3 sides โ†’ Triangle
  • 4 sides โ†’ Quadrilateral (examples: square, rectangle, rhombus)
  • 5 sides โ†’ Pentagon
  • 6 sides โ†’ Hexagon
  • 7 sides โ†’ Heptagon
  • 8 sides โ†’ Octagon
  • 9 sides โ†’ Nonagon
  • 10 sides โ†’ Decagon
  • 11 sides โ†’ Hendecagon
  • 12 sides โ†’ Dodecagon
Note

โ€œQuadโ€ means four, โ€œpentaโ€ means five, โ€œhexaโ€ means six, and so on. Learning the prefixes can help you remember polygon names.

Using polygons in real life

Polygons are everywhere in the world around us. Many signs, buildings, and objects are shaped like polygons.

Examples:
  • A stop sign is an octagon (8 sides).
  • A baseball diamond is a square rotated to look like a diamond (4 sides).
  • A honeycomb cell is a hexagon (6 sides).
Note

Look around your classroom, home, or outsideโ€”try to identify polygons by counting their sides and naming them.