Angle Relationships

measurementandspace core

Angle relationships | NSW Curriculum Website

• 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