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Proof of the Circle Theorems

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Question 7

$E\,$ and $F\,$ are points on the circumference of a circle, centre $O$ . $GFH\,$ is a tangent to the circle at point $F$ .

A geometric diagram shows a circle with center $O$ . A horizontal line $GFH\,$ is tangent to the circle at point $F$ . Points $D\,$ and $E\,$ are on the circumference. Chords $DF\,$ and $EF\,$ are drawn.

Prove that angle $HFE\,$ and angle $FDE\,$ are equal.

Circle with centre O, triangle DEF inscribed in the circle, and horizontal tangent GFH touching the circle at F.

[4]

Markscheme

Proof of the Circle Theorems Questions

GCSE
Maths
Proof of the Circle Theorems

19 exam-style questions on Edexcel GCSE Maths Proof of the Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.

Proof of the Circle Theorems

Question bank

Proof of the Circle Theorems

Medium Hard

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

Question 7

$E\,$ and $F\,$ are points on the circumference of a circle, centre $O$ . $GFH\,$ is a tangent to the circle at point $F$ .

Prove that angle $HFE\,$ and angle $FDE\,$ are equal.

Circle with centre O, triangle DEF inscribed in the circle, and horizontal tangent GFH touching the circle at F.

[4]

Markscheme

Proof of the Circle Theorems Questions

GCSE
Maths
Proof of the Circle Theorems

19 exam-style questions on Edexcel GCSE Maths Proof of the Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.