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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-5
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y9-02NZC26-P4-GEO-SHP-P-Y9-03NZC26-P4-GEO-SHP-K-Y9-02
Resources
- Dr Austin Maths - Angles in Parallel Lines Practice GridQuestions PDF · Answers
- CorbettMaths on parallel line angle rulesQuestions PDF · Answers
Terminology
- Parallel lines
- Transversal
- Corresponding angles
- Alternate angles
- Co-interior angles
- Vertically opposite angles
Task goals
- Identify and name corresponding, alternate, and co-interior angle pairs formed when a transversal crosses a pair of parallel lines.
- Calculate an unknown angle using the corresponding angles rule (equal angles).
- Calculate an unknown angle using the alternate angles rule (equal angles).
- Calculate an unknown angle using the co-interior angles rule (angles sum to 180 degrees).
- Calculate an unknown angle given as an algebraic expression by forming and solving an equation from the correct parallel-line angle rule.
- Solve multi-step problems that combine parallel-line angle relationships with other angle rules (angles on a line, angles at a point, angles in a triangle), writing a full geometric reasoning statement to justify each step.
Where this fits
What leads into this objective, and where it goes next.
Before
Geometric Reasoning with Parallel Lines and Polygons (Combined)
Parallel line rules
Vertically opposite angles
You are here
Angle Properties of Parallel Lines
Do
Reasoning about unknown angles in situations involving intersecting and parallel lines and transversals.
Statement▸
Year 9 · Geometry · Shapes
NZC26-P4-GEO-SHP-P-Y9-02
Do
Verifying that two lines are parallel, using angles at the intersections of a transversal
Statement▸
Year 9 · Geometry · Shapes
NZC26-P4-GEO-SHP-P-Y9-03
Also under GM5-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.