Proof of the Circle Theorems

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Question 12

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

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Question 12

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 12

Video walkthrough

Proof of the Circle Theorems

Question 12

Video walkthrough

Proof of the Circle Theorems

Question 12

Proof of the Circle Theorems Questions

Proof of the Circle Theorems

Question 12

Proof of the Circle Theorems Questions