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Chapter 13 of 22
Formula Sheet

Similarity — Formula Sheet

ICSE · Class 10 · Mathematics

5 formulas from Similarity (ICSE Class 10 Mathematics) on one page, grouped by topic. Part of the ICSE Class 10 Mathematics syllabus.

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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5 Entries · 4 Sections

Formulas and Key Relations

2. Conditions of Similarity

AB/PQ = BC/QR = AC/PR

∠A = ∠P, ∠B = ∠Q, ∠C = ∠R

3. Proportional vs Equal

Angle sum property applied to proportional angles: 2x+3x+4x=180°, x=20°; 2y+3y+4y=180°, y=20°

4. Area and Altitude Facts

ar(△ABC) = 1/2 × BC × AD

Internal Angle Bisector Theorem and Its Converse

If AD is the internal bisector of ∠A in △ABC, then BD/DC = AB/AC.

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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 many formulas are in Similarity?
This sheet lists 5 formulas from Similarity, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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.

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