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Similar Triangles

Telangana Board · Class 10 · Mathematics

Complete topic list for Similar Triangles in Telangana Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

44 questions30 flashcards5 concepts

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4 Topics · Telangana Board Class 10 Mathematics

Topics in Similar Triangles

1

1. Similar Figures and Similar Triangles

  • Similar figures have the same shape but not necessarily the same size.
  • Two polygons of the same number of sides are similar if corresponding angles are equal and corresponding sides are in the same ratio.
  • A regular polygon has all sides and angles equal.
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2. Basic Proportionality Theorem and Its Converse

  • Basic Proportionality Theorem is also known as Thales Theorem.
  • If a line is drawn parallel to one side of a triangle and meets the other two sides at distinct points, then those two sides are divided in the same ratio.
  • The converse is also true: if a line divides two sides of a triangle in the same ratio, then the line is parallel to the third side.
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3. Similarity Criteria for Triangles

  • For triangles, one condition is enough: AA, SSS, or SAS similarity.
  • If two angles of one triangle are respectively equal to two angles of another triangle, the triangles are similar.
  • AAA similarity is effectively AA similarity because the third angle is automatically equal.
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4. Areas of Similar Triangles

  • The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
  • If two similar triangles have equal areas, they are congruent.
  • Example 9: if areas are 64 cm^2 and 121 cm^2 and EF = 15.4 cm, then BC = 11.2 cm.

Key Concepts

Central concept: Similarity of triangles and related theorems, criteria, area relations, and right-triangle results

Similar figuresSimilar polygonsTriangle similarityBasic Proportionality TheoremCriteria for similarity of trianglesApplications of similarityAreas of similar trianglesPythagoras theorem

Frequently Asked Questions

What are the important topics in Similar Triangles for Telangana Board Class 10 Mathematics?
Similar Triangles covers several key topics that are frequently asked in Telangana Board 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 Similar Triangles — Telangana Board Class 10 Mathematics?
Understand the core concepts first, then work through the 44 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 Similar Triangles

All 14 chapters — Telangana Board Class 10 Mathematics Syllabus

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