# 11X1 T07 02 angle theorems 1

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Angle Theorems

Angle Theorems(4) The angle subtended by an arc (or chord) at the centre is double the angle subtended by the arc (or chord) at the circumference.

Angle Theorems(4) The angle subtended by an arc (or chord) at the centre is double the angle subtended by the arc (or chord) at the circumference.

Angle Theorems(4) The angle subtended by an arc (or chord) at the centre is double the angle subtended by the arc (or chord) at the circumference.

Angle Theorems(4) The angle subtended by an arc (or chord) at the centre is double the angle subtended by the arc (or chord) at the circumference.Proof:Join BO and produce to XX

Angle Theorems(4) The angle subtended by an arc (or chord) at the centre is double the angle subtended by the arc (or chord) at the circumference.Proof:Join BO and produce to XX

Angle Theorems(4) The angle subtended by an arc (or chord) at the centre is double the angle subtended by the arc (or chord) at the circumference.Proof:Join BO and produce to XX

(5a) The angle in a semicircle is a right angle.

(5a) The angle in a semicircle is a right angle.

(5a) The angle in a semicircle is a right angle.

(5a) The angle in a semicircle is a right angle.

(5a) The angle in a semicircle is a right angle.

(5a) The angle in a semicircle is a right angle.Proof:

(5a) The angle in a semicircle is a right angle.Proof:

(5a) The angle in a semicircle is a right angle.Proof:

(5a) The angle in a semicircle is a right angle.Proof:Exercise 9B; 1 ace etc, 2, 6, 8ac, 9ab, 10ac, 11ac, 12, 13