2026/27 Enrolment Open · Free Assessment
Cambridge IGCSE MathematicsSyllabus 0580Unit 6: Shape and space
Chapter 23

Transformations and vectors

Draw and describe reflections, rotations, translations and enlargements, calculate with column vectors and magnitudes, and solve vector geometry proofs for Cambridge IGCSE Mathematics.

What You'll Learn

  • 01Reflections, rotations and translations
  • 02Positive, fractional and negative enlargements
  • 03Describing single transformations fully
  • 04Column vectors and vector arithmetic
  • 05Calculating the magnitude of a vector
  • 06Vector geometry and collinearity proofs
Resources

Topical Past Papers

Practice questions from licensed topical past papers organised around this topic.

View Topical Past Papers →

Chapter Topics

5 official subtopics
23.1Reflection, rotation, translation and enlargement
23.2Negative and fractional scale factors
Extended
23.3Column vectors and vector arithmetic
Extended
23.4Magnitude of a vector
Extended
23.5Vector geometry and collinearity proofs
Extended

Your Learning Journey

Plan your chapter across focused 60-minute sessions.

5 Sessions5 Hours (300 min)
01
LEARN
60 MIN
23.1 Reflection, rotation, translation and enlargement
23.2 Negative and fractional scale factors
Session 1 of 5
02
LEARN
60 MIN
23.3 Column vectors and vector arithmetic
23.4 Magnitude of a vector
Session 2 of 5
03
LEARN
60 MIN
23.5 Vector geometry and collinearity proofs
Session 3 of 5
04
PRACTICE
60 MIN
Chapter Practice
Session 4 of 5
05
EXAM
60 MIN
Past Paper Practice
Session 5 of 5
1-to-1 Mathematics Tuition · Cambridge IGCSE Mathematics

Master Chapter 23: Transformations and vectors with Siddharth Agrawal

Book a free 30-minute diagnostic session for personalised 1-to-1 coaching tailored to your Extended tier target grade.