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Concept Maps

Constructions — Concept Maps

NIOS · Class 10 · Maths

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

43 questions24 flashcards3 formulas & key relations5 concepts

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A step-by-step diagram illustrating the construction of dividing a line segment AB internally in a given ratio (e.g., 2:3) using a ray and parallel lines. Shows the initial line segment, the acute ang
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4 Concept Maps

Complete Overview of Construction Methods

Complete Overview of Construction Methods

The map in words

  • Constructions
    • Line Division
      • Internal Ratio
      • Equal Parts Method
      • Compass and Ruler
    • Triangle Construction
      • Basic Methods
        • SSS Method
        • SAS Method
        • ASA Method
        • RHS Method
      • Advanced Methods
        • Perimeter Given
        • Sum of Sides
        • Difference of Sides
        • Median Given
    • Similar Triangles
      • Scale Factor
      • Parallel Lines
      • Proportional Sides
    • Circle Tangents
      • Point on Circle
      • External Point
      • Perpendicular Property

Complete Overview of Constructions Chapter

Complete Overview of Constructions Chapter

The map in words

  • Constructions
    • Line Segments
      • Internal Division
      • Given Ratio
      • Auxiliary Ray Method
      • Equal Divisions
    • Triangle Construction
      • Basic Methods
        • SSS Method
        • SAS Method
        • ASA Method
        • RHS Method
      • Special Cases
        • Perimeter Given
        • Sum of Sides
        • Difference of Sides
        • Median Given
    • Similar Triangles
      • Scale Factor
      • Ray Method
      • Parallel Lines
      • Corresponding Vertices
    • Tangent Construction
      • At Point on Circle
      • From External Point
      • Perpendicular Property
      • Equal Lengths

Construction Methods Overview

Construction Methods Overview

The map in words

  • Constructions
    • Line Segment Division
      • Internal Division
        • Sum of Ratios
        • Auxiliary Ray
        • Parallel Lines
      • Applications
        • Architecture
        • Engineering
        • Scaling
    • Triangle Construction
      • Basic Cases
        • SSS Three Sides
        • SAS Two Sides Angle
        • ASA Two Angles Side
        • RHS Right Triangle
      • Advanced Cases
        • Perimeter Given
        • Sum Difference Sides
        • Median Given
      • Similar Triangles
        • Scale Factor
        • Ray Method
        • Parallel Construction
    • Circle Tangents
      • Point on Circle
        • Perpendicular Radius
        • Direct Method
      • External Point
        • Auxiliary Circle
        • Equal Tangents

Geometrical construction with ruler and compasses

Geometrical construction with ruler and compasses

The map in words

  • Geometrical construction with ruler and compasses
    • Division of a line segment in a given ratio
    • Triangle construction from given data
    • Similar triangle construction
    • Tangents to a circle

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Frequently Asked Questions

What are the important topics in Constructions for NIOS Class 10 Maths?
Key topics in Constructions include Division of a Line Segment in a Given Ratio, Construction of Triangles, Similar Triangles by Scale Factor, Tangents to a Circle. Study these first, then practise questions on each for the NIOS Class 10 board exam.
What do the concept maps for Constructions show?
The 4 maps show how the ideas in Constructions connect: Complete Overview of Construction Methods; Complete Overview of Constructions Chapter. Each map is also written out as an outline on this page.
How should I revise Constructions for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 43 practice questions on Constructions. 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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