Skip to main content
Super TutorResources
Chapter 13 of 22
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Similarity

ICSE · Class 10 · Mathematics

Complete topic list for Similarity in ICSE Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

40 questions24 flashcards5 concepts

Interactive on Super Tutor

Studying Similarity? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

A comparison illustrating the difference between congruent figures (same shape and size) and similar figures (same shape, different size), using examples of triangles and other polygons.
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started
4 Topics · ICSE Class 10 Mathematics

Topics in Similarity

1

1. Similar Figures and Similar Triangles

  • Figures that have the same shape but different size are called similar figures.
  • Same shape does not mean equal size.
  • Two triangles are similar if their corresponding sides are proportional and their corresponding angles are equal.
2

2. Conditions for Similarity of Triangles

  • There are three main similarity conditions: SSS, AAA, and SAS.
  • SSS similarity: three corresponding sides are proportional.
  • AAA similarity: corresponding angles are equal.
3

3. Basic Proportionality Theorem and Its Converse

  • Theorem 1: If a line is drawn parallel to one side of a triangle, intersecting the other two sides, then it divides the other two sides proportionally.
  • The converse says: if a straight line divides any two sides of a triangle proportionally, then the line is parallel to the third side.
  • In the converse proof, the line DE is first assumed not parallel to BC, and a parallel line DP is drawn through D.
4

4. Internal Angle Bisector Theorem and Its Converse

  • The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.
  • If AD is the internal bisector of ∠A in △ABC, then BD/DC = AB/AC.
  • In Theorem 3, CE is drawn parallel to DA meeting BA produced at E.

Key Concepts

Central concept: Similarity of triangles and similar figures

Similar figuresSimilarity of trianglesDifference between proportional and equalSimilarity conditionsCongruency and similarityBasic Proportionality TheoremConverse of Basic Proportionality TheoremInternal angle bisector theorem

Frequently Asked Questions

What are the important topics in Similarity for ICSE Class 10 Mathematics?
Similarity covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Similarity — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 40 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Similarity

All 22 chapters — ICSE Class 10 Mathematics Syllabus

For serious students

Get the full Similarity chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 10 Mathematics.

Try Super Tutor Free
Try the full chapter — Free