GCSE Maths Practice: circle-theorems

Question 7 of 10

This question examines the Alternate Segment Theorem, relating the tangent and chord angles.

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\( \begin{array}{l}\text{What is true about the angle between a tangent and a chord?}\end{array} \)

Choose one option:

\( \text{Is equal to angle in alternate segment} \) \( \text{Is equal to } 90^\circ \) \( \text{Is double the angle at center} \) \( \text{Has no special relation} \)

Angle between tangent and chord = angle in alternate segment.

The Alternate Segment Theorem states that the angle formed between a tangent and a chord through the point of contact is equal to the angle in the alternate segment of the circle. This property is fundamental for solving geometry problems, proving circle theorems, and reasoning with tangents, chords, and cyclic figures. Practising this theorem helps students quickly identify angle relationships and apply them in GCSE diagrams and proofs.