Grow your brain.

This applet demonstrates three rules about angles and parallel lines.

Author and programmer: Ron Barrow

UK Years 7-9, KS3, Foundation GCSE Mathematics - Shape and Space

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Instructions below    See also: Angles and crossed lines   Angles, straight lines and triangles

[Applet - Angles and parallel lines]

You can move the points A and B by clicking the red dots and dragging them with your mouse.
The lines CD and EF are parallel to each other. By moving A and B you can investigate three important rules (theorems) about angles and parallel lines. You can choose which rule to investigate from the drop-down list at the top of the page.
The sizes of the angles follow these important rules.

What are the rules? Look at the angles marked with blue and orange as you move the lines, and try to work out the rules. They are quite simple.
When you think you know, press the "Show the Rule" button at the bottom of the screen and the rules will be revealed. Have a think about why these rules work.
Enjoy yourself while you practise and learn these rules by name.