In this feature we invite you to explore polygons and their angles. There are some interesting results to discover and prove, so get your ruler, pencil, protractor and compass at the ready!
problem
Favourite
An Equilateral Triangular Problem
Age
11 to 14
Challenge level
Take an equilateral triangle and cut it into smaller pieces. What can you do with them?
problem
Favourite
Polygon Pictures
Age
11 to 14
Challenge level
Can you work out how these polygon pictures were drawn, and use that to figure out their angles?
problem
Favourite
Star Polygons
Age
11 to 14
Challenge level
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
problem
Angles in Three Squares
Age
14 to 16
Challenge level
Drawing the right diagram can help you to prove a result about the angles in a line of squares.
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Angles, polygons and Geometrical Proof - Stage 3
Working on these problems will help you develop a better understanding of angles, polygons and proof.
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Angles, polygons and Geometrical Proof - Stage 4
Working on these problems will help you develop a better understanding of angles, polygons and proof.