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Revision Notes

Constructions

NIOS · Class 10 · Maths

Quick revision notes for Constructions — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

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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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Key Topics to Revise

1

Division of Line Segments

  • To divide a line segment internally in a given ratio m:n, we need (m+n) equal divisions on an auxiliary ray
  • The key is drawing parallel lines - one through the last point to the endpoint, another through the required ratio point
  • Always draw the auxiliary ray at an acute angle to the given line segment
2

Triangle Construction Methods

  • SSS Construction: Use compass arcs from two vertices with given side lengths
  • SAS Construction: Construct given angle first, then mark off the two sides
  • ASA Construction: Draw base, construct both angles, find intersection point
3

Special Triangle Constructions

  • Perimeter given: Use total length and half-angle bisectors
  • Sum/difference of sides: Use auxiliary point method with perpendicular bisectors
  • Median given: Construct median first, then complete triangle
4

Similar Triangle Construction

  • Scale factor = ratio of corresponding sides of new triangle to original triangle
  • Use ray method: draw ray from one vertex, mark equal divisions
  • Number of divisions = denominator of scale factor

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Full Notes

Key Concepts

To divide line segment AB internallyWhen three sides are givenWhen two sides and included angleWhen two angles and included sideFor right triangles when hypotenuse

Frequently Asked Questions

What are the important topics in Constructions for NIOS Class 10 Maths?
Constructions covers several key topics that are frequently asked in NIOS 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 Constructions — NIOS Class 10 Maths?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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