Angle relationships
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-ANG-C-01 applies angle relationships to solve problems, including those related to transversals on sets of parallel linesContent dot points
Each dot point has its own page with resources matched to it.
Apply the language, notation and conventions of geometry
- Use appropriate terminology and conventions to define, label and name points, rays, lines and intervals using capital letters
- Identify and label the vertex and arms of an angle with capital letters
- Use appropriate conventions to label and name angles 1 resource
- Use common conventions to indicate right angles, equal angles and intervals on diagrams 1 resource
Identify geometrical properties of angles at a point
- Identify right angles, straight angles, angles of complete revolution and vertically opposite angles 6 resources · 1 interactive/game
- Apply the terms complementary and supplementary to a pair of angles adding to 90° and 180°, respectively 4 resources · 2 interactive/game
- Apply the term adjacent angles to a pair of angles with a common arm and common vertex 2 resources · 1 interactive/game
Identify and describe corresponding, alternate and co-interior angles when 2 straight lines are crossed by a transversal, including parallel lines
- Identify and describe perpendicular lines using the symbol for is perpendicular to (⊥) 2 resources
- Apply the common conventions to indicate parallel lines on diagrams
- Identify and describe pairs of parallel lines using the symbol for is parallel to (∥) 2 resources
- Identify and define transversals, including transversals of parallel lines
- Identify, name and measure alternate angle pairs, corresponding angle pairs and co-interior angle pairs for 2 lines cut by a transversal 6 resources · 2 interactive/game
- Verify and identify corresponding angles and alternate angles as equal, and co-interior angles as supplementary, when a pair of parallel lines is cut by a transversal 5 resources · 2 interactive/game
- Justify that 2 lines are parallel by using properties of alternate, corresponding or co-interior angles on parallel lines 1 resource
Solve numerical problems involving angles using reasoning
- Apply the knowledge of angle relationships including angles at a point to find the sizes of unknown angles embedded in diagrams and give reasons 5 resources
- Apply the knowledge of angles associated with parallel lines to find the sizes of unknown angles embedded in related diagrams and give reasons 5 resources
Focus area resources
- Unit/PlanningStage 4 Unit 11 – geometrical relationships (sample unit of learning)
- Unit/PlanningStage 4 Unit 6 – triangles and quadrilaterals (sample unit of learning)
Stage 4 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 4 core (NESA no. 11)
- Unit/PlanningStage 4 – sample scope and sequence
- Unit/PlanningStage 4 – stage based – sample scope and sequence