Proof of the Circle Theorems

Question 2

$Y\,$ and $Z\,$ are points on the circumference of a circle, centre $O$ . $SZT\,$ is a tangent to the circle.

A geometric diagram shows a circle with center $O$ . A horizontal line $SZT\,$ is tangent to the circle at point $Z$ . Points $X\,$ and $Y\,$ are on the circumference. Chords $XZ\,$ and $YZ\,$ are drawn.

Prove that angle $TZY\,$ and angle $ZXY\,$ are equal.

[4]

Proof of the Circle Theorems

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Question 2

$Y\,$ and $Z\,$ are points on the circumference of a circle, centre $O$ . $SZT\,$ is a tangent to the circle.

A geometric diagram shows a circle with center $O$ . A horizontal line $SZT\,$ is tangent to the circle at point $Z$ . Points $X\,$ and $Y\,$ are on the circumference. Chords $XZ\,$ and $YZ\,$ are drawn.

Prove that angle $TZY\,$ and angle $ZXY\,$ are equal.

[4]

Proof of the Circle Theorems

Question 2

Proof of the Circle Theorems Questions

Proof of the Circle Theorems

Question 2

Proof of the Circle Theorems Questions