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Outline
S4 Properties of Circle
Angle at centre twice angle at circumference
Angles in the same segment
Perpendicular from centre to chord bisects chord
Equal chords, equal arcs
Chords equidistant from centre are equal
Test for cyclic quadrilateral
Opposite angles, cyclic quadrilateral
Arcs proportional to angles at centre
Arcs proportional to angles at circumference
Angle in alternate segment
Converse of Tangent perpendicular to radius
Converse of angle in alternate segment
S4 Properties of Circle
Author:
Kawa Chan
Topic:
Circle
Angle at centre twice angle at circumference
Angles in the same segment
Perpendicular from centre to chord bisects chord
Equal chords, equal arcs
Chords equidistant from centre are equal
Test for cyclic quadrilateral
Opposite angles, cyclic quadrilateral
Arcs proportional to angles at centre
Arcs proportional to angles at circumference
Angle in alternate segment
Converse of Tangent perpendicular to radius
Converse of angle in alternate segment
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Angle at centre twice angle at circumference
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