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Geometry — Concept Maps

Tamil Nadu Board · Class 10 · Mathematics

3 concept maps of Geometry for Tamil Nadu Board Class 10 Mathematics, each also written out as a text outline.

44 questions26 flashcards2 formulas & key relations5 concepts

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A diagram illustrating the steps for the proof of the Basic Proportionality Theorem, involving construction of perpendiculars and joining vertices to form triangles with equal areas.
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An illustration from Super Tutor's Geometry chapter — alongside flashcards, concept maps and practice questions.

3 Concept Maps

Chapter 4 Geometry — Complete Topic Overview

Chapter 4 Geometry — Complete Topic Overview

The map in words

  • Geometry Ch4
    • Similarity
      • Similar Triangles
        • AA Criterion
        • SAS Criterion
        • SSS Criterion
      • Key Results
        • Area Ratio = Side Ratio Squared
        • Perimeter Ratio = Side Ratio
        • Altitude Ratio = Side Ratio
      • Construction
        • Scale Factor Less Than 1
        • Scale Factor Greater Than 1
    • BPT and Angle Bisector
      • Thales Theorem
        • DE parallel BC implies AD over DB = AE over EC
        • Converse also true
      • Angle Bisector Theorem
        • AD bisects angle A
        • BD over DC = AB over AC
        • Converse also true
      • Triangle Constructions
        • Given Base and Vertical Angle
        • With Median
        • With Altitude
        • With Bisector Point
    • Pythagoras Theorem
      • Statement
        • Hypotenuse squared = Sum of squares of legs
      • Pythagorean Triplets
        • 3 4 5
        • 5 12 13
        • 8 15 17
      • Converse
        • c squared = a squared + b squared implies right angle
      • Applications
        • Distance Problems
        • Navigation
        • Real Life
    • Circles and Tangents
      • Tangent Properties
        • Radius perpendicular to tangent
        • Equal tangents from external point
        • Tangent length = root of d squared minus r squared
      • Touching Circles
        • External d = r1 + r2
        • Internal d = r1 minus r2
      • Alternate Segment Theorem
    • Concurrency Theorems
      • Ceva Theorem
        • Tests Concurrency
        • BD over DC times CE over EA times AF over FB = 1
      • Menelaus Theorem
        • Tests Collinearity
        • BP over PC times CQ over QA times AR over RB = 1
      • Special Cevians
        • Median to Centroid
        • Altitude to Orthocentre
        • Bisector to Incentre

Geometry Chapter - Concept Hierarchy

Geometry Chapter - Concept Hierarchy

The map in words

  • Geometry Chapter
    • Similarity
      • Similar Triangles
        • AA Criterion
        • SAS Criterion
        • SSS Criterion
      • Properties
        • Altitude Ratios
        • Perimeter Ratios
        • Area Ratios
    • Proportionality
      • Basic Proportionality Theorem
      • Angle Bisector Theorem
      • Converse Theorems
    • Pythagoras Theorem
      • Right Triangles
      • Pythagorean Triplets
      • Hypotenuse Calculation
    • Circles and Tangents
      • Tangent Properties
      • Alternate Segment
      • Concentric Circles
    • Concurrency
      • Cevas Theorem
      • Menelaus Theorem
      • Special Points
    • Constructions
      • Similar Triangles
      • Tangent Lines
      • Given Conditions

Geometry Chapter Overview

Geometry Chapter Overview

The map in words

  • Geometry
    • Similarity
      • AA Criterion
      • SAS Criterion
      • SSS Criterion
      • Area Ratio
      • Perimeter Ratio
    • Proportionality
      • Thales Theorem
      • Converse BPT
      • Angle Bisector
      • Converse ABT
    • Pythagoras
      • Right Triangle
      • Hypotenuse
      • Pythagorean Triplets
      • Applications
    • Circles Tangents
      • Tangent Properties
      • Tangent Length
      • Alternate Segment
      • Common Tangents
    • Concurrency
      • Ceva Theorem
      • Menelaus Theorem
      • Cevians
      • Concurrent Lines

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Frequently Asked Questions

What are the important topics in Geometry for Tamil Nadu Board Class 10 Mathematics?
Key topics in Geometry include 2 Similarity of Triangles, 3 Thales Theorem and Angle Bisector Theorem, 4 Pythagoras Theorem, 5 Circles and Tangents. Study these first, then practise questions on each for the Tamil Nadu Board Class 10 board exam.
What do the concept maps for Geometry show?
The 3 maps show how the ideas in Geometry connect: Chapter 4 Geometry — Complete Topic Overview; Geometry Chapter - Concept Hierarchy. Each map is also written out as an outline on this page.
How should I revise Geometry for the Tamil Nadu Board Class 10 board exam?
Learn the core ideas first, then work through the 44 practice questions on Geometry. 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.

More resources for Geometry

All Tamil Nadu Board Class 10 Mathematics Concept Maps

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