Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM6-4
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y9-01NZC26-P3-GEO-SHP-P-Y8-01
Resources
- CorbettMaths on circle theoremsQuestions PDF · Answers
- Dr Austin Maths - Circle Theorems and Tangents Practice GridQuestions PDF · Answers
- Dr Austin Maths - Cyclic Quadrilaterals Practice GridQuestions PDF · Answers
Terminology
- Tangent
- Radius
- Chord
- Semicircle
- Segment
- Circumference
- Cyclic quadrilateral
- Subtend
- Isosceles triangle
Task goals
- State and apply the tangent-radius theorem (90 degrees at the point of contact).
- State and apply the angle-in-a-semicircle theorem (90 degrees).
- Use the same-segment theorem to identify and calculate equal angles subtending the same arc.
- Use the centre/circumference theorem (the angle at the centre is double the angle at the circumference on the same arc) to find a missing angle.
- Use the cyclic quadrilateral theorem (opposite angles sum to 180 degrees) to find a missing angle.
- Solve multi-step problems that chain two circle theorems together, and explain which theorem justifies each step.
Where this fits
What leads into this objective, and where it goes next.
Before
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Circle theorem
Next
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Also under GM6-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.