Year 10 Maths - Sem II Exam Revision

Chord Theorem 1

Chords of equal length subtend equal angles at the centre.

Chord Theorem 2

Chords of equal length are equidistant from the centre.

Chord Theorem 3

The perpendicular from the centre of the circle to the chord bisects the chord and the angle at the centre subtended by the chord.

Chord Theorem 4

The perpendicular bisectors of every chord intersect at the centre of the circle.

Angle Theorem 1

Angle at the centre of a circle is twice one at the circumference subtended at the same arc.

Angle Theorem 2

The angle in a semicircle is 90°.

Angle Theorem 3

Angles at the circumference subtended by the same arc are equal.

Angle Theorem 4

Opposite angles in a cyclic quadrilateral sum to 180°.

Alternate Segment Theorem

The angle between a tangent and chord is equal to the angle in the alternate segment.

4 Categories of Data

Nominal Categorical, Ordinal Categorical, Discrete Numerical, Continuous Numerical