As I’m reading through different research papers, pedagogical guides and textbooks, I can often plot a mathematical path through the school years. This is one of the beautiful things I have an opportunity to do – join together what are seemingly disjoint ideas in primary school with challenging geometrical problems pupils might not meet until secondary.
One such case is that of symmetry, constructions and circle theorems. Below I’ve pulled together work by Fujita and Jones (2002), Godfrey and Siddons (1912), and Mason (2010). I should also at this point recognise the work of Dr Nicola Bretscher, UCL Institute of Education – participating in her workshops on circle theorems using Geogebra has been incredibly helpful in understanding how carefully designed informal and formal construction tasks can reveal beautiful results.
Let’s assume you have not yet met any circle theorems or formal constructions, but have mentally established the concept of a circle as the set of points equidistant from a centre. Here’s a series of tasks to consider. They are worth completing as you go – no cheating and reading ahead! These tasks are designed to cover a series of years: with each visit refining ideas working towards formalised procedures with understanding. For me they highlight the need for making connections between areas of mathematics and making sure pupils can explain what’s going on.
Let’s start by investigating mirror lines. What geometric relationships exist between the mirror line and pairs of corresponding points on an object and its image? Pick any point on the mirror line and join it with line segments to a point on the object and the corresponding point on its image. What do you notice about the line segments? So how can you use circles to construct points on the mirror line? How many points would you need to identify to find the mirror line? Why?
![](data:image/png;base64,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)
Following this train of thought, you’ve established that any point on a mirror line is exactly the same distance between any pair of corresponding points on the object and its image. A nice way to think about – or experience – this is by folding along the mirror line: corresponding points overlap with each other, so joining them to any point on the mirror line makes it clear that they are the same distance away from that point.
One way of defining a line in a particular position is by finding (a minimum) of two points that lie on the line. Hence, we can construct the mirror line if we can find two points on it. This can be achieved by constructing two circles, each having the same radius, one with a point on the object as its centre and the other with the corresponding image point as its centre – around two corresponding points on the object and its image – so long as the circles intersect twice. An alternative is to construct two pairs of matching arcs – they don’t even have to be from the same corresponding points.
![](data:image/png;base64,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)
So we’ve constructed the mirror line. If we pick any pair of corresponding points they are both the same distance to any point on this line.
When would these circles only touch once? Why? What does this tell you about a radius and tangent (a line that touches the circumference but does not cross it)? Use the diagram below to help explain what’s happening:
![](data:image/png;base64,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)
The shortest distance between two points is the straight line between them (the dotted line in the image below) so the circles touch once when their radius is half of this distance (remember the circles are identical) – any shorter and the circles won’t meet. Now let’s think of another point on the mirror line and join it to the corresponding points on the object and its image. What can you say now? Use the discussions above (and your knowledge of isosceles triangles) to justify why the dotted line and mirror line are perpendicular to each other. Hence you’ve constructed the perpendicular bisector between the two points, and found that a tangent meets a radius at 90˚.
![](data:image/png;base64,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)
Embedded in this train of thought is also information about a chord and the radius. Let’s start with one circle touching the mirror line and increase its radius.
![](data:image/png;base64,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)
Analysing this diagram is fascinating. The chord (now in red) is perpendicular to the radius, its ends are the same distance from the indicated point on the object and the image, so actually the dotted line is now a mirror line between the two ends of the chord – hence it’s a perpendicular bisector of the chord. In other words the perpendicular bisector of a chord passes through the centre of the circle.
Actually investigating and pulling this construction apart is extremely powerful. Dig down even further and you’ve got the construction of a rhombus via its diagonals (recalling that the diagonals of a rhombus are perpendicular bisectors of one another).
Opening up pupils’ minds to these kinds of experiences starts in the earliest years. We ask pupils what they notice about reflections. What happens if a shape moves closer to the mirror? They become accustomed to noticing and encouraged to explain and justify whether they are convinced. High quality examples to discuss and teachers who can see the whole picture of development are essential – and, where possible, resources such as dynamic geometry environments further aid the progression.
SOMETHING TO TRY:
KS1: Play the hoop game: Give each pupil in a group a hoop. They stand in a line behind each other. One by one they try to throw their hoop over a stake at the front of the line. But they can’t move until they’ve thrown. The winners are those whose hoop goes over the stake.
Discuss the game. Is it fair? When pupils say no ask them in their groups to design a fair game using the same equipment and winning rule (hoop over stake). Collect together thoughts; discuss the shapes created and the key features e.g. the players stand in a circle, each the same distance from the centre.
KS2: Find the treasure.
Mock up a treasure island on the floor. Pupils use chalk, string and a metre stick to identify where to dig. With clues like “The treasure is exactly 1 metre from the well and less than two metres from the pirate flag. Where should we dig?”
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: Construct a rhombus with diagonals of 10cm and 4cm
KS5: Make an angle by folding a piece of paper. Align this angle between two fixed points in as many ways as possible. Mark the locus of the ‘tip’ of the angle. Explain what’s happening. Why is this happening? What effect does the size of the angle have? (thanks to Dr Nicola Bretscher for this challenge)
![](data:image/png;base64,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)
|