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Angles and Polygons

This feature invites students to explore polygons and their angles. There are some interesting results to discover and prove, and opportunities to practise using ruler, compasses and protractor along the way.
An Equilateral Triangular Problem link

An Equilateral Triangular Problem live

Stage: 3 Challenge Level: Challenge Level:1

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Polygon Pictures link

Polygon Pictures live

Stage: 3 Challenge Level: Challenge Level:1

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

Star Polygons link

Star Polygons live

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

Angles in Three Squares link

Angles in Three Squares live

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Drawing the right diagram can help you to prove a result about the angles in a line of squares.

Angles and Polygons - Short Problems link

Angles and Polygons - Short Problems 

Stage: 3

A collection of short Stage 3 problems on Angles and Polygons.