Geometry and proof — Topic Review | Year 10

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.

Complete each paper and show your working.

Geometry and proof — Practice test 1
16 questions · 33 marks · 55 minutes · Scientific calculator
Build angle, triangle and circle reasoning with justified steps.
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Geometry and proof — Practice test 2
16 questions · 38 marks · 55 minutes · Scientific calculator
Build angle, triangle and circle reasoning with justified steps.
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Geometry and proof — Applications test
16 questions · 44 marks · 60 minutes · Scientific calculator
Use geometric reasoning to evaluate designs, constructions and claims.
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