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Chapter 14 of 26
Formula Sheet

Similarity Of Triangles — Formula Sheet

NIOS · Class 10 · Maths

10 formulas from Similarity Of Triangles (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.

42 questions28 flashcards10 formulas & key relations5 concepts

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10 Entries · 6 Sections

Formulas and Key Relations

1. Similar Objects and Similar Polygons

Two polygons are similar only if corresponding angles are equal and corresponding sides are proportional.

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2. Basic Proportionality Theorem

AD/DB = AE/EC

3. Angle Bisector Theorem

BD/DC = AB/AC

4. Criteria for Similarity of Triangles

If corresponding angles of two triangles are equal, the triangles are similar.

If corresponding sides of two triangles are proportional, the triangles are similar.

If one angle of a triangle equals one angle of another triangle and the sides containing these angles are proportional, the triangles are similar.

If △ABC ~ △DEF, then ∠A = ∠D, ∠B = ∠E, ∠C = ∠F and AB/DE = BC/EF = CA/FD.

Basic Proportionality Theorem and Its Converse

In triangle ABC, if DE is parallel to BC, then AD/DB = AE/EC.

Angle Bisector Theorem

If AD bisects angle A in triangle ABC, then BD/DC = AB/AC.

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Frequently Asked Questions

What are the important topics in Similarity Of Triangles for NIOS Class 10 Maths?
Key topics in Similarity Of Triangles include Similar Plane Figures and Similar Objects, Basic Proportionality Theorem and Its Converse, Angle Bisector Theorem, Similarity Criteria for Triangles. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many formulas are in Similarity Of Triangles?
This sheet lists 10 formulas from Similarity Of Triangles, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Similarity Of Triangles for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 42 practice questions on Similarity Of Triangles. 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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All NIOS Class 10 Maths Formula Sheet

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