Parallel line rules

Explore Parallel line rules.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

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.

Key skills

  • Parallel line angles
  • Corresponding angles
  • Alternate angles
  • Co-interior angles

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included