Cambridge IGCSE MathematicsSyllabus 0580Unit 3: Shape and space
Chapter 11
Pythagoras' theorem and similar shapes
Apply Pythagoras' theorem in right-angled triangles, find unknown lengths, areas and volumes in similar shapes, and identify congruent figures for Cambridge IGCSE Mathematics.
What You'll Learn
- 01Pythagoras' theorem in 2D triangles
- 02Finding hypotenuse and shorter sides
- 03Similar shapes and linear scale factors
- 04Similar areas and surface area ratios
- 05Volumes and masses of similar solids
- 06Congruent shapes and triangles
Resources
Topical Past Papers
Practice questions from licensed topical past papers organised around this topic.
Chapter Topics
4 official subtopics11.1Pythagoras' theorem
11.2Understanding similar shapes
11.3Understanding similar areas and volumes
Extended11.4Understanding congruence
Your Learning Journey
Plan your chapter across focused 60-minute sessions.
5 Sessions5 Hours (300 min)
01LEARN
02LEARN
03LEARN
04PRACTICE
05EXAM
01
LEARN
11.1 Pythagoras' theorem
Session 1 of 5Focus: Right-angled triangles & Pythagoras
02
LEARN
11.2 Understanding similar shapes
11.3 Understanding similar areas and volumes
Session 2 of 5Focus: Scale factors, areas & volumes
03
LEARN
11.4 Understanding congruence
Session 3 of 5Focus: Congruent shapes & properties
04
PRACTICE
Chapter Practice
Session 4 of 5Focus: Chapter consolidation
05
EXAM
Past Paper Practice
Session 5 of 5Focus: Timed exam application
01
LEARN
11.1 Pythagoras' theorem
Session 1 of 5
02
LEARN
11.2 Understanding similar shapes
11.3 Understanding similar areas and volumes
Session 2 of 5
03
LEARN
11.4 Understanding congruence
Session 3 of 5
04
PRACTICE
Chapter Practice
Session 4 of 5
05
EXAM
Past Paper Practice
Session 5 of 5
1-to-1 Mathematics Tuition · Cambridge IGCSE Mathematics
Master Chapter 11: Pythagoras' theorem and similar shapes with Siddharth Agrawal
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