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Chapter Summary

Similarity — Chapter Summary

ICSE · Class 10 · Mathematics

Summary of Similarity for ICSE Class 10 Mathematics. Key concepts: Figures that have the same, Two triangles are similar if and Corresponding sides can be.

40 questions24 flashcards5 formulas & key relations5 concepts

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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.
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Overview

Similarity of triangles is based on the idea of same shape. Figures having the same shape but different size are called similar figures. Same shape does not mean equal size. In similar triangles, corresponding sides are proportional and corresponding angles are equal. This chapter also includes cond

Key Concepts

Figures that have the same shape

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

Two triangles are similar if their corresponding sides are proportional and their corresponding angles are equal. The statement "Two triangles are sim

Corresponding sides can be proportional without

Corresponding sides can be proportional without being equal. Corresponding angles, when proportional in the sense used here, are necessarily equal.

Congruent figures have the same shape

Congruent figures have the same shape and the same size, so all congruent figures are similar. But all similar figures may not be congruent.

If three sides of one triangle

If three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar. The condition is AB/PQ = BC/QR = AC

Learning Objectives

  • Understand the meaning of similar figures and similar triangles
  • Distinguish between similarity and congruency
  • Apply SSS, AAA, AA corollary, and SAS similarity conditions
  • Use the Basic Proportionality Theorem and its converse
  • Apply the internal angle bisector theorem and its converse

Frequently Asked Questions

What are the important topics in Similarity for ICSE Class 10 Mathematics?
Key topics in Similarity include Similar Figures and Similar Triangles, Conditions for Similarity of Triangles, Basic Proportionality Theorem and Its Converse, Internal Angle Bisector Theorem and Its Converse. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How should I revise Similarity for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 40 practice questions on Similarity. Revise 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 ICSE Class 10 Mathematics Chapter Summary

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