S5 Cir 2 Chord Properties

Stage 5 Mathematics Chord Properties of Circles

Recognise and name the parts of a circle and use them in proving theorems.

State theorems applying to chords in a circle and use them to solve problems.

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Chord Theorem 1

Equal chords subtend equal angles at the centre of a circle.

Equal angles at the centre of a circle subtend equal chords.

Chord Theorem 2

A perpendicular line from the centre of a circle to a chord bisects the chord

A line drawn from the centre of a circle to a chord's midpoint is perpendicular to the chord

Chord Theorem 3

Equal chords of a circle are equidistant from the centre.

Chords in a circle which are equidistant to the centre are equal.

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