#MeasurementAndSpace #Path #Ext >[!info]- [Circle geometry (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fa6eb2f57b) >- MA5-CIR-P-01 applies deductive reasoning to prove circle theorems and solve related problems ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | --------------------------------------- | -------------------------- | ----------------------------------------------- | | [[Length]] | - Features of circles | - terminology associated with circles | | [[Properties of Geometrical Figures C]] | - formal congruence proofs | - derivation and application of circle theorems | ## [[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