Angles - points, lines and parallel lines

There are 80 NRICH Mathematical resources connected to Angles - points, lines and parallel lines
Pythagoras
article

Pythagoras

Pythagoras of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. Find out about the important developments he made in mathematics, astronomy, and the theory of music.
Coordinates and Descartes
article

Coordinates and Descartes

Have you ever wondered how maps are made? Or perhaps who first thought of the idea of designing maps? We're here to answer these questions for you.
Maurits Cornelius Escher
article

Maurits Cornelius Escher

Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be intertwined.
Virtual Geoboard
interactivity

Virtual Geoboard

A virtual geoboard that allows you to create shapes by stretching rubber bands between pegs on the board. Allows a variable number of pegs and variable grid geometry and includes a point labeller.
Angles inside
problem

Angles inside

Age
11 to 14
Challenge level
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Draw some angles inside a rectangle. What do you notice? Can you prove it?
Robotic Rotations
problem

Robotic Rotations

Age
11 to 16
Challenge level
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How did the the rotation robot make these patterns?
Shogi shapes
problem

Shogi shapes

Age
11 to 14
Challenge level
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Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?
Polygon Pictures
problem

Polygon Pictures

Age
11 to 14
Challenge level
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Can you work out how these polygon pictures were drawn, and use that to figure out their angles?
Same length
problem

Same length

Age
11 to 16
Challenge level
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Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?