Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

These are the Transum resources related to the statement: "Pupils should be taught to {apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results}".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Angle Theorem Kim's Game A memory game to be projected to help the whole class revise the circle angle theorems.
- Circle Theorem Pairs A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles.
- Circle Theorems Exercise Show that you understand and can apply the circle theorems with this self marking exercise.
- Geometry Toolbox Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.
- Proof of Circle Theorems Arrange the stages of the proofs for the standard circle theorems in the correct order.

Here are some exam-style questions on this statement:

- "
*The points B, C, D, E and F are on a circle. DAE and CAB are straight lines and AB= BE.*" ... more - "
*The points B, C, D and E lie on the circle with centre at A.*" ... more - "
*B, C, D and E are points on the circumference of a circle, centre O.*" ... more - "
*In the diagram above, not drawn to scale, A, B and C are points on a circle, centre O. TA is a tangent to the circle at A and OBT is a straight line. AC is a diameter and angle OTA = 28°.*" ... more - "
*(a) Find \(x\), the size of angle ABC if B, C and D are all points on the circle to which AB is a tangent. The diagram is not drawn to scale.*" ... more - "
*The diagram shows a circle with its centre at the origin.*" ... more - "
*The diagram, not drawn to scale, shows chords joining points on the circumference of a circle. Prove that triangle ADE is similar to triangle BCE.*" ... more - "
*The diagrams are not drawn to scale*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.