Circle Geometry

measurementandspace path ext

Circle geometry (Path) | NSW Curriculum Website

• MA5-CIR-P-01 applies deductive reasoning to prove circle theorems and solve related problems

📖 Prior Knowledge

Content	Prerequisite relationships
Geometric Measure B	- Recognise perpendicular lines → Prove and apply tangent and secant properties
Length	- Identify the features of circles → Use circle angle terminology
Properties of Geometrical Figures C	- Construct proofs using congruent triangles → Prove and apply chord properties of circles

Prove and apply angle and chord properties of circles.pdf

• Apply terminology associated with angles in circles
• Identify the arc on which an angle at the centre or circumference stands
• Demonstrate that at any point on a circle there is a unique tangent to the circle, and that this tangent is perpendicular to the radius at the point of contact
• Prove chord properties of circles
• Prove angle properties of circles
• Apply chord and angle properties of circles to find unknown angles and lengths in diagrams

Prove and apply tangent and secant properties of circles.pdf

• Prove tangent and secant properties of circles
• Apply tangent and secant properties of circles to find unknown angles and lengths in diagrams