Properties of geometrical figures B (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-GEO-P-01 establishes conditions for congruent triangles and similar triangles and solves problems relating to properties of similar figures and plane shapes (Path: Ext)Content dot points
Each dot point has its own page with resources matched to it.
Identify and explain congruence
- Identify figures as congruent figures if translations, reflections and rotations can move one figure exactly on top of another 3 resources · 1 interactive/game
- Match the sides and angles of 2 congruent polygons 2 resources
- Indicate 2 polygons are congruent using the symbol (≡) and name the vertices in matching order
- Determine that having equal radii is the condition for 2 circles to be congruent
Develop and use the conditions for congruent triangles
- Establish the 4 congruence tests for triangles (SSS, SAS, AAS and RHS) 6 resources · 2 interactive/game
- Use the congruence tests to identify a pair of congruent triangles from a selection of 2 or more triangles 3 resources
Develop and apply the minimum conditions for triangles to be similar
- Examine the minimum conditions needed and establish the 4 tests for 2 triangles to be similar 1 resource · 1 interactive/game
- Apply the minimum conditions needed and determine whether 2 triangles are similar using an appropriate test 1 resource
Establish and apply properties of similar shapes and solids
- Establish for 2 similar figures with similarity ratio a:b that their areas are in the ratio a²:b² and their volumes are in the ratio a³:b³ 2 resources
- Solve problems involving areas and volumes of similar shapes and solids 4 resources
Apply logical reasoning to numerical problems involving plane shapes
- Apply geometrical facts, properties and relationships to find the sizes of unknown sides and angles of plane shapes in diagrams, providing appropriate reasons
- Define the exterior angle of a convex polygon 2 resources · 2 interactive/game
- Establish the sum of the exterior angles of any convex polygon is 360° and verify this result 1 resource · 1 interactive/game
- Apply the result for the sum of the interior angles of a triangle to find, by dissection, the sum of the interior angles of a polygon with more than 3 sides 4 resources · 2 interactive/game
- Apply the results for the interior and exterior angles of polygons to solve problems involving polygons 7 resources · 3 interactive/game
Focus area resources
Stage 5 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 03)
- Unit/PlanningSample scope and sequence: Stages 4–5 core and selected paths (NESA no. 04)
- Unit/PlanningSample scope and sequence: Stage 5 core and all paths (NESA no. 05)
- Unit/PlanningSample scope and sequence: Stage 5 core (NESA no. 02)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 06)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 01)
- Unit/PlanningSample scope and sequence: Stages 4–5 stage based (NESA no. 08)
- Unit/PlanningStage 5 – sample scope and sequence
- Unit/PlanningStage 5 – stage based – sample scope and sequence