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-Y9-01
Resources
- Dr Austin Maths - Circle Theorems and Tangents Practice GridQuestions PDF · Answers
- CorbettMaths - Circle TheoremsQuestions PDF · Answers
Terminology
- centre
- radius
- chord
- tangent
- arc
- segment
- subtend
- cyclic quadrilateral
- circle theorem
- geometric reason
Task goals
- Name the parts of a circle (centre, radius, chord, tangent, arc, segment).
- State and apply the angle at the centre theorem: the angle at the centre is twice the angle at the circumference standing on the same arc.
- State and apply the angle in a semicircle theorem: the angle in a semicircle is always 90 degrees.
- Apply the cyclic quadrilateral theorem, that opposite angles in a cyclic quadrilateral sum to 180 degrees, to calculate a missing angle.
- Apply the tangent-radius theorem, that a tangent meets a radius at 90 degrees, to calculate a missing angle.
- Solve a multi-step problem that combines several circle theorems with algebraic unknowns, giving a fully justified reason for each step.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
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Angle Properties of Circles
Also under GM6-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.