Angles in Cyclic Quadrilaterals
Select points A, B, C and D and move them round the circle.
What do you notice about the size of the angles in a Cyclic Quadrilateral?
What can you say about the Angles in a Cyclic Quadrilateral?
Can you prove the result?
Which other circle theorem can you find in this Activity?
Ideas for Teachers
Use this Activity as a homework, where the students must come up with a conjecture regarding Angles in Cyclic Quadrilaterals. Ensuring they are using the correct vocabulary here is essential.
As an extension task, you could ask the students to try and prove this result (a point towards the other Circle Theorems might be needed).
An alternative approach, which is even more hands on, is to get them to make this in Autograph themselves. You could do this in two ways: show them this activity, asking them to reproduce it (will develop their understanding of Autograph and circles); use the worksheet provided which gives a step by step approach to creating it.
Use this Activity as a homework, where the students must come up with a conjecture regarding Angles in Cyclic Quadrilaterals. Ensuring they are using the correct vocabulary here is essential.
As an extension task, you could ask the students to try and prove this result (a point towards the other Circle Theorems might be needed).
An alternative approach, which is even more hands on, is to get them to make this in Autograph themselves. You could do this in two ways: show them this activity, asking them to reproduce it (will develop their understanding of Autograph and circles); use the worksheet provided which gives a step by step approach to creating it.
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A worksheet for students to work through which involves them creating the above activity using Autograph before doing the investigation.

cyclic_quadrilaterals.agg  
File Size:  13 kb 
File Type:  agg 