Proof of the Circle Theorems

Question 3

$E\,$ 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.

[4]

Proof of the Circle Theorems

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Question 3

$E\,$ 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.

[4]

Proof of the Circle Theorems

Question 3

Proof of the Circle Theorems Questions

Proof of the Circle Theorems

Question 3

Proof of the Circle Theorems Questions