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.