Parallel and perpendicular lines (AQA GCSE Further Maths): Flashcards

📚Flashcards
Parallel and perpendicular lines
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

12 cards from this deck

Show

What does gradient measure?

How steep a line is and which direction it's going

Gradient formula with points (x1,y1)(x_1, y_1) & (x2,y2)(x_2, y_2)

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

What does 'rise over run' mean?

Vertical change divided by horizontal change

Definition of parallel lines

Lines that never meet, no matter how far extended

Gradient rule for parallel lines

m1=m2m_1 = m_2

Definition of perpendicular lines

Lines that meet at exactly 90 degrees (right angle)

Gradient rule for perpendicular lines

m1×m2=−1m_1 \times m_2 = -1

Alternative form of perpendicular gradient rule

m2=−1m1m_2 = -\frac{1}{m_1} (negative reciprocal)

Scale requirement for perpendicular lines to look right

Same scale on both axes

If gradient is 22, perpendicular gradient is?

−12-\frac{1}{2}

If gradient is 23\frac{2}{3}, perpendicular gradient?

−32-\frac{3}{2}

How to verify lines are perpendicular?

Check gradients mathematically, not visually

Explore AQA GCSE Further Maths Revision Notes by Topics

Explore AQA GCSE Further Maths Model Answers by Topics

Explore AQA GCSE Further Maths Quizzes by Topics

Explore AQA GCSE Further Maths Exam Questions by Topics

Join 100,000+ GCSE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.