01 / QUICK RECAP
Connect the ideas.
- State theorem conditions and match corresponding vertices.
- Congruence fixes size and shape; similarity fixes shape and gives a scale factor.
- Circle angles depend on the intercepted arc; opposite cyclic angles sum to 180°.
- A valid counterexample disproves a universal claim; general proof requires justified steps.
- Construction steps need both input conditions and a reason the output has the required property.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Geometry and proof — Practice test 1
Build angle, triangle and circle reasoning with justified steps.
16 questions · 33 marks · 55 minutes · Scientific calculatorGeometry and proof — Practice test 2
Build angle, triangle and circle reasoning with justified steps.
16 questions · 38 marks · 55 minutes · Scientific calculatorGeometry and proof — Applications test
Use geometric reasoning to evaluate designs, constructions and claims.
16 questions · 44 marks · 60 minutes · Scientific calculator
Curriculum reference & lesson scope
Australian Curriculum v9 and SA Curriculum
Angle and similarity reasoning; congruent/similar triangles in proofs; chords, radii and tangents; angles at the centre and circumference; circle theorems and their applications; connected deductive arguments; construction/spatial algorithms; testing and justifying solutions.
Official curriculum source ↗