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Chapter 14 of 26
Concept Maps

Similarity Of Triangles — Concept Maps

NIOS · Class 10 · Maths

4 concept maps of Similarity Of Triangles for NIOS Class 10 Maths, each also written out as a text outline. Part of the NIOS Class 10 Maths syllabus.

42 questions28 flashcards10 formulas & key relations5 concepts

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4 Concept Maps

Similarity of Triangles - Complete Concept Map

Similarity of Triangles - Complete Concept Map

The map in words

  • Similarity of Triangles
    • Similar Figures
      • Same Shape
      • Different Sizes
      • Corresponding Angles Equal
      • Corresponding Sides Proportional
    • Basic Proportionality Theorem
      • Parallel Line Property
      • AD/DB = AE/EC
      • Converse Also True
      • Proportion Problems
    • Angle Bisector Theorem
      • Internal Bisector
      • BD/DC = AB/AC
      • Ratio of Adjacent Sides
      • Unknown Side Calculation
    • Triangle Similarity Criteria
      • AAA Criterion
        • All Angles Equal
        • Easiest to Check
      • SSS Criterion
        • All Sides Proportional
        • Side Ratio Method
      • SAS Criterion
        • One Angle Plus Sides
        • Mixed Condition
    • Area Relationships
      • Area Ratio Formula
      • Square of Side Ratio
      • Two Dimensional Scaling
    • Pythagoras Theorem
      • Right Triangle Property
      • c² = a² + b²
      • Converse for Angle Check
      • Baudhayan Discovery

Complete Overview of Similarity of Triangles

Complete Overview of Similarity of Triangles

The map in words

  • Similarity of Triangles
    • Basic Concepts
      • Similar Figures
        • Same Shape
        • Different Size
      • Corresponding Parts
        • Equal Angles
        • Proportional Sides
    • Theorems
      • Basic Proportionality
        • Parallel Line Theorem
        • Converse Theorem
      • Angle Bisector
        • Internal Bisector
        • Ratio of Adjacent Sides
    • Similarity Criteria
      • AAA Similarity
        • All Angles Equal
      • SSS Similarity
        • All Sides Proportional
      • SAS Similarity
        • One Angle Plus Two Sides
    • Applications
      • Area Ratios
        • Square of Linear Ratio
      • Right Triangles
        • Pythagoras Theorem
        • Converse Theorem
      • Problem Solving
        • Construction Problems
        • Measurement Problems

Similarity of Triangles - Complete Overview

Similarity of Triangles - Complete Overview

The map in words

  • Similarity of Triangles
    • Basic Proportionality
      • Parallel Lines
      • Proportional Segments
      • Converse Theorem
    • Similarity Criteria
      • AAA Criterion
      • SSS Criterion
      • SAS Criterion
    • Applications
      • Angle Bisector
      • Areas of Similar Triangles
      • Pythagoras Theorem
        • Right Triangles
        • Converse Testing
    • Problem Types
      • Finding Unknown Sides
      • Proving Similarity
      • Real World Applications

Similarity of triangles and related theorems

Similarity of triangles and related theorems

The map in words

  • Similarity of triangles and related theorems
    • Similar objects
    • Similarity of polygons
    • Basic Proportionality Theorem
    • Angle Bisector Theorem
    • Criteria of similarity
    • Results on similar triangles
    • Baudhayan/Pythagoras Theorem

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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.
What do the concept maps for Similarity Of Triangles show?
The 4 maps show how the ideas in Similarity Of Triangles connect: Similarity of Triangles - Complete Concept Map; Complete Overview of Similarity of Triangles. Each map is also written out as an outline on this page.
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 Concept Maps

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