# 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.

• 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

• 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

• 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