Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM6-5GM4-5
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y10-01NZC26-P4-GEO-SHP-K-Y10-01NZC26-P4-GEO-SPR-P-Y10-02NZC26-P4-GEO-SHP-K-Y10-02
Resources
- CorbettMaths - Congruent and Similar ShapesQuestions PDF · Answers
Terminology
- Similar shapes
- Congruent shapes
- Corresponding sides
- Corresponding angles
- Scale factor
- SSS (side-side-side)
- SAS (side-angle-side)
- ASA (angle-side-angle)
- RHS (right angle-hypotenuse-side)
Task goals
- Identify corresponding sides and angles in pairs of congruent or similar shapes and state whether two given shapes are congruent or similar by inspection.
- Calculate unknown side lengths using similarity ratios and scale factors, and justify congruence between triangles using the SSS, SAS, ASA, and RHS tests.
- Combine similarity or congruence reasoning with algebraic equations to solve multi-step problems involving overlapping, nested, or composite geometric figures.
Where this fits
What leads into this objective, and where it goes next.
You are here
Similarity and Congruence in Geometric Figures
Do
Using the properties of similarity in 2D shapes, including right-angled triangles, to find unknown lengths and angles
Statement▸
Year 10 · Geometry · Shapes
NZC26-P4-GEO-SHP-P-Y10-01
Know
In similar shapes, corresponding angles are equal and the lengths of corresponding sides are proportional.
Statement▸
Year 10 · Geometry · Shapes
NZC26-P4-GEO-SHP-K-Y10-01
Also under GM6-5:
Also under GM4-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.