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7 Cards in this Set

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Alternate segment theorem: The angle between the tangent and the chord is the same as the angle in the alternate segment

The tangent at any point on a circle is perpendicular to the radius at that point.


Also: tangents from an external point are equal in length

The opposite angles in a cyclic quadrilateral add up to 180

The angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference

The perpendicular line from the centre of the circle to the chord bisects the chord


The perpendicular bisector of any chord passes through the centre

Angles subtended by the same arc are equal

The angle subtended at the circumference by a semicircle is a right angle