Stage 5 · Circle geometry (Path) · Prove and apply tangent and secant properties of circles · Topic: Geometry: shapes & angles · Year 9, 10
Prove tangent and secant properties of circles
Dot point ID k-10-2022-stage-5-circle-geometry-path/cir-sec-stg5-01 · NESA code MA_K_10_CP_CIR_SEC_STG5_01 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 8 resources★EnrichExtension & rich tasks · 2 resources
Outcomes for this focus area (MA5-CIR-P-01)
MA5-CIR-P-01 applies deductive reasoning to prove circle theorems and solve related problems (Path: Ext)Core resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- Interactive toolStarterMathigon: Tangents, chords and arcsUse it for: Interactive introduction to circle geometry vocabulary and chord/tangent properties.
Worksheet
- Corbettmaths practice questions: Circle theorems proof: angles at circumference/centreUse it for: Free printable graded practice questions (with answers) on circle theorems proof: angles at circumference/centre for drill or a quick check.
Video
- VideoStarterCorbettmaths video: Circle theorems proof: alternate segment theoremUse it for: Short worked-example video on circle theorems proof: alternate segment theorem to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems proof: radius and tangent proofUse it for: Short worked-example video on circle theorems proof: radius and tangent proof to model the method before practice or for flipped revision.