01 / QUICK RECAP
Connect the ideas.
- Congruence preserves both shape and size; corresponding vertex order records which parts match.
- Use SSS, SAS, ASA/AAS or RHS with the correct included-angle or right-angle conditions.
- Similarity preserves angles and uses one common factor for corresponding lengths.
- A diagonal can turn a quadrilateral claim into a congruent-triangle argument.
- Rigid transformations preserve congruence; equal-factor enlargements preserve similarity.
- Algorithms need complete decisions. Digital measurements test a claim but are not a universal proof.
02 / TOPIC TEST
Put it together.
Choose a paper and show your working.
Congruence and similarity — topic test
Match parts, select valid tests, solve proportional lengths, and justify a geometric claim.
15 questions · 33 marks · 45 minutes · By hand
Curriculum reference & lesson scope
Australian Curriculum v9 / SA Curriculum
Congruent shapes and matching parts; triangle congruence tests; similar shapes and corresponding sides; triangle similarity; properties of quadrilaterals established using triangles; testing congruence/similarity with transformations; decision-tree algorithms and digital geometry.
Official curriculum source ↗