Proof of the Circle Theorems

Question 5

Points $G\,$ and $H\,$ lie on a circle with centre $C$ .

Using the circle theorem 'the angle at the centre is twice the angle at the circumference', prove that the opposite angles $FEH\,$ and $FGH\,$ in the cyclic quadrilateral $EFGH\,$ add up to $180∘180^\circ$ .

[4]

Proof of the Circle Theorems

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Question 5

Points $G\,$ and $H\,$ lie on a circle with centre $C$ .

Using the circle theorem 'the angle at the centre is twice the angle at the circumference', prove that the opposite angles $FEH\,$ and $FGH\,$ in the cyclic quadrilateral $EFGH\,$ add up to $180∘180^\circ$ .

[4]

Proof of the Circle Theorems

Question 5

Proof of the Circle Theorems Questions

Proof of the Circle Theorems

Question 5

Proof of the Circle Theorems Questions