Key learning points

1. A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments
2. Theorems can be thought of as puzzles to solve, you are showing how to find a result
3. In order to use this theorem, you may need to draw a diagram or add more information to an existing one

Keywords

• Subtended - An angle can be subtended by a line segment or curve. The legs of the subtended angle meet the endpoints of the line segment or curve.

• Arc - An arc of a circle is part of the circle’s circumference.

• Chord - A chord is any line segment joining two points on the circumference of a circle.

• Diameter - The diameter of a circle is any line segment that starts and ends on the circumference of the circle and passes through the centre of the circle.

Common misconception