#MeasurementAndSpace #Core >[!info]- [Angle relationships | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/fa7949a8dc) >- MA4-ANG-C-01 applies angle relationships to solve problems, including those related to transversals on sets of parallel lines ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ------------------------ | --------------------------------------------------------------------- | --------------------------------------------- | | [[Geometric Measure B]] | - recognising angles at a point, in a right-angle, on a straight line | - solving numerical problems involving angles | | [[Algebraic Techniques]] | - generalising relationships | - generalising angle relationships | | [[Equations]] | - solving two-step equations | - solving harder angle problems | ## [[Apply the language, notation and conventions of geometry.pdf]] - 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 - Use common conventions to indicate right angles, equal angles and intervals on diagrams ## [[Identify geometrical properties of angles at a point.pdf]] - Identify right angles, straight angles, angles of complete revolution and vertically opposite angles - Apply the terms _complementary_ and _supplementary_ to a pair of angles adding to 90° and 180°, respectively - Apply the term _adjacent angles_ to a pair of angles with a common arm and common vertex ## [[Identify and describe corresponding, alternate and co-interior angles when 2 straight lines are crossed by a transversal, including parallel lines.pdf]] - Identify and describe perpendicular lines using the symbol for _is perpendicular to_ (⊥) - Apply the common conventions to indicate parallel lines on diagrams - Identify and describe pairs of parallel lines using the symbol for _is parallel to_ (∥) - 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 - 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 - Justify that 2 lines are parallel by using properties of alternate, corresponding or co-interior angles on parallel lines ## [[Solve numerical problems involving angles using reasoning.pdf]] - Apply the knowledge of angle relationships including angles at a point to find the sizes of unknown angles embedded in diagrams and give reasons - Apply the knowledge of angles associated with parallel lines to find the sizes of unknown angles embedded in related diagrams and give reasons