In my last blog on this theme I mapped out a journey through a range of discussions and activities looking towards the development of some of the circle theorems starting with considering the mirror line. In this blog I describe a similar journey again developed from the work of Fujita and Jones (2002), Godfrey and Siddons (1912), and Mason (2010).
It’s a practical, hands-on approach where pupils develop an understanding of, and explanation for, the construction of an angle bisector and several circle theorems. Again the concept of a circle as the set of points equidistant from the centre is essential and I would recommend working through the activities yourself to gain a deep understanding of how the story develops.
Start by sketching this diagram freehand. Each circle touches the two line segments that meet at a point.
![](data:image/png;base64,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)
What is the locus of the centres of the circles? If you folded along this locus what would happen? Test out your ideas.
Why does this happen?
Consider the diagram below and compare lengths OA and OB, AC and BC and consequences of these facts.
![](data:image/png;base64,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)
This is a lovely activity, because there’s so much going on here…
Folding along the blue dotted line is folding along a diameter, hence a mirror line of the circle itself. AC and BC are radii of the same circle so equal in length; folding along the locus of the centres of the circles A and B shows they coincide, so OA and OB are equal in length and angles AOC and COB are equal in size. Now thinking about consequences of these; triangles OAC and OBC are congruent, you can ‘see’ this when you fold along the line but also because all three sides match up. In my previous blog we established that a tangent meets a radius at right angles, hence angles OAC and OBC are both 90˚
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)
How can we use these facts to construct the angle bisector?
What circle theorems have we uncovered?
I’ll leave you to think about these – please do leave a comment below about what your next step would be.
This story isn’t to be completed in a day, but over several visits highlighted in other lessons – with each visit it’s refined and gradually formalised. By turning some of these problems around and cleverly choosing/designing a starting place – often an informal construction – we open up a whole wonderful world of circle theorems and constructions. As I develop the geometry area of the Cambridge Mathematics Framework I’m really beginning fully to understand the importance of constructions: how they allow a much deeper understanding of geometry and how integral they are to the subject. They are not something simply to copy and repeat procedurally without understanding, but instead offer a window into how shapes are built and their constituent parts. As I delve into higher-level mathematics the ideas established lower down are developed, refined and abstracted, based on these solid foundations.
SOMETHING TO TRY
KS1: Using either pairs of compasses or string and drawing pins, ask pupils to recreate the following diagrams. Discuss what is important about the way in which the circles are constructed; e.g. where their centres are, how their radii compare.
![](data:image/png;base64,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)
KS2: Using pairs of compasses, ask pupils to recreate the following diagrams exactly (you’ll need to print them out large enough to recreate). Discuss what is important about the way in which the circles are constructed e.g. where their centres are, how their radii compare, what measurements were taken (these are pretty tricky!)
![](data:image/png;base64,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)
KS3: Analyse the diagram below. Write down as many facts as you can about the diagram (with your reasons) and questions you have.
![](data:image/png;base64,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)
KS4: An excircle of a triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. For a triangle construct the three excircles.
![](data:image/png;base64,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)
KS5: This video shows how to construct a regular pentagon:
http://www.mathopenref.com/constinpentagon.html
![](data:image/png;base64,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)
Explain how and why it works.
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