Angles - points, lines and parallel lines

There are 81 NRICH Mathematical resources connected to Angles - points, lines and parallel lines

problem

Favourite

Subtended angles

Age

11 to 14

Challenge level

What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?

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Favourite

Turning

Age

5 to 7

Challenge level

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

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Favourite

Right angles

Age

11 to 14

Challenge level

Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

problem

Favourite

Same length

Age

11 to 16

Challenge level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

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?

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Favourite

Robotic rotations

Age

11 to 16

Challenge level

How did the the rotation robot make these patterns?

problem

Favourite

Angles inside

Age

11 to 14

Challenge level

Draw some angles inside a rectangle. What do you notice? Can you prove it?

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Cylinder cutting

Age

7 to 11

Challenge level

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

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Dotty relationship

Age

7 to 11

Challenge level

Can you draw perpendicular lines without using a protractor? Investigate how this is possible.

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Angle to chord

Age

14 to 16

Challenge level

Weekly Problem 23 - 2008
A triangle has been drawn inside this circle. Can you find the length of the chord it forms?

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For younger learners

Angles - points, lines and parallel lines

Subtended angles

Turning

Right angles

Same length

Polygon pictures

Robotic rotations

Angles inside

Cylinder cutting

Dotty relationship

Angle to chord