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Chapter 11 of 14
Syllabus

Triangles — Syllabus

Karnataka Board · Class 10 · Mathematics

What Triangles covers in Karnataka Board Class 10 Mathematics: 4 topics, for the 2026-27 session. Topics include 1 Similar Figures - Foundation Concepts.

45 questions20 flashcards5 concepts

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4 Topics · Karnataka Board Class 10 Mathematics · 2026-27

Topics in Triangles

1

6.1 Similar Figures - Foundation Concepts

  • Similar figures have the same shape but not necessarily the same size
  • All congruent figures are similar, but similar figures need not be congruent
  • All circles are similar to each other
2

6.2 Basic Proportionality Theorem (Thales Theorem)

  • If a line is parallel to one side of a triangle, it divides the other two sides proportionally
  • Converse: If a line divides two sides of a triangle proportionally, it is parallel to the third side
  • This theorem forms the foundation for triangle similarity
3

6.3 Criteria for Triangle Similarity

  • AAA (or AA) Similarity: If corresponding angles are equal, triangles are similar
  • SSS Similarity: If corresponding sides are proportional, triangles are similar
  • SAS Similarity: If one angle is equal and sides including these angles are proportional, triangles are similar
4

6.4 Problem-Solving with Similar Triangles

  • Use similarity to find unknown sides and angles
  • Apply to real-world problems like shadow calculations and indirect measurements
  • Combine with other geometric theorems for complex problems

Key Concepts

Two figures are similar if theyIf a line is drawn parallelIf a line divides any twoIf corresponding angles of two trianglesIf corresponding sides of two triangles

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Frequently Asked Questions

What are the important topics in Triangles for Karnataka Board Class 10 Mathematics?
Key topics in Triangles include 1 Similar Figures - Foundation Concepts, 2 Basic Proportionality Theorem (Thales Theorem), 3 Criteria for Triangle Similarity, 4 Problem-Solving with Similar Triangles. Study these first, then practise questions on each for the Karnataka Board Class 10 board exam.
How should I revise Triangles for the Karnataka Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on 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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