Points E,F,G E, F, G\,E,F,G and H H\,H lie on a circle with centre CCC.
Using the circle theorem 'the angle at the centre is twice the angle at the circumference', prove that the opposite angles FEH FEH\,FEH and FGH FGH\,FGH in the cyclic quadrilateral EFGH EFGH\,EFGH add up to 180∘180^\circ180∘.
Practise Edexcel GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.