- MA4-ANG-C-01 applies angle relationships to solve problems, including those related to transversals on sets of parallel lines
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Geometric Measure A | - Classify angles by size → Identify angle pairs at a point |
| Geometric Measure B | - Find adjacent angles that add to → Find unknown angles at a point - Find adjacent angles on a straight line → Find unknown angles at a point - Find angles at a point → Find unknown angles at a point |
| Algebraic Techniques | - Collect like terms → Find unknown angles with parallel lines |
| Equations | - Solve one-step linear equations → Find unknown angles at a point - Solve equations with the pronumeral on both sides → Find unknown angles with parallel lines |
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