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Parallel & Perpendicular

Revise Parallel & Perpendicular in Graphs for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

Train Tracks and Right Angles

Introduction2

Parallel Lines

Key Facts3

Perpendicular Lines

Key Facts4

Parallel and Perpendicular Lines

Diagram5

The Gradient Rules

Key Facts6

Finding Parallel and Perpendicular Lines

Deep Dive7

Worked Examples

Deep Dive8

Exam Tips for Parallel & Perpendicular Lines

Exam Tips9

Real-World Applications

Deep Dive

Sample Flashcards

What is the gradient rule for parallel lines?
Parallel lines have equal gradients. If L1 has gradient m1 and L2 has gradient m2, then L1 || L2 means m1 = m2.
What is the gradient rule for perpendicular lines?
Perpendicular lines have gradients that multiply to -1. If L1 perp L2 then m1 x m2 = -1.

Sample Questions

Which of the following is true about two parallel straight lines?

  • A. They have the same gradient but different y-intercepts
  • B. Their gradients multiply to give -1
  • C. They have the same gradient and the same y-intercept
  • D. One gradient is the negative of the other
1 markfoundation

Explain why a horizontal line and a vertical line are always perpendicular to each other. Your explanation must refer to gradients.

2 marksstandard

14

exam-style questions

12

revision flashcards

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