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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-Y9-02NZC26-P3-GEO-SPR-P-Y7-04
Resources
- Alpha textbook: Angle properties for parallel lines, Ex 25.15, pg 421-423
- Dr Austin Maths - Angles in Parallel Lines Practice GridQuestions PDF · Answers
- CorbettMaths on parallel line angle rulesQuestions PDF · Answers
- Beta: Understanding perpendicular and parallel lines: Exercise 18.07, pgs 351 & 352
- Beta: Alternate angles: Exercise 18.08, pgs 353 & 354
- Beta: Alternate angles: Exercise 18.09, pgs 355 & 356
- Beta: Corresponding angles: Exercise 18.10, pg 357
- Beta: Corresponding angles: Exercise 18.11, pgs 358 & 359
- Beta: Co-interior angles: Exercise 18.12, pgs 360 & 361
- Beta: Mixed questions: Exercise 18.13, pgs 361 & 362
Terminology
- Parallel lines
- Bisecting line / transversal line
- Corresponding angles
- Co-interior angles
- Alternate angles
Task goals
- Identify corresponding, alternate, and co-interior angle pairs formed by a transversal crossing a pair of parallel lines.
- Find an unknown angle using the corresponding angles rule (equal angles).
- Find an unknown angle using the alternate angles rule (equal angles).
- Find an unknown angle using the co-interior angles rule (angles sum to 180 degrees).
- Combine a parallel-line angle rule with vertically opposite angles to find an unknown angle.
- Form and solve an equation from an algebraic angle expression using the correct parallel-line rule.
- Name the angle rule used to justify a found angle.
- Decide whether a described pair of angles proves that two lines are parallel.
Where this fits
What leads into this objective, and where it goes next.
You are here
Parallel line rules
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.