Understand and use the terms centre, radius, chord, diameter and circumference.
Understand and use the terms tangent, arc, sector and segment.
Understand and use the terms centre, radius, chord, diameter and circumference.
Understand and use the terms tangent, arc, sector and segment.
Apply and prove: the angle subtended by an arc at the centre is twice the angle at the circumference.
Apply and prove: the angle on the circumference subtended by a diameter is a right angle.
Apply and prove: two angles in the same segment are equal.
Apply and prove: a radius or diameter bisects a chord if and only if it is perpendicular to the chord.
Apply and prove: for a point P on the circumference, the radius or diameter through P is perpendicular to the tangent at P.
Apply and prove: for a point P on the circumference, the angle between the tangent and a chord through P equals the angle subtended by the chord in the opposite segment.
Apply and prove: the opposite angles of a cyclic quadrilateral are supplementary.