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Chapter Summary

Constructions — Chapter Summary

NIOS · Class 10 · Maths

Summary of Constructions for NIOS Class 10 Maths. Part of the NIOS Class 10 Maths syllabus. Geometrical construction is the accurate drawing of figures.

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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Overview

Geometrical construction is the accurate drawing of figures with a ruler and compasses. The chapter covers division of a line segment in a given ratio, construction of triangles from different sets of given data, construction of similar triangles using a scale factor, and construction of tangents to

Key Concepts

A line segment can be divided

A line segment can be divided internally in a required ratio by drawing an auxiliary ray, marking equal points on it, joining the last point to one en

A triangle is constructed when all

A triangle is constructed when all three sides are given. Draw one side first, then use arcs from its endpoints with the other two side lengths as rad

A triangle is constructed when two

A triangle is constructed when two sides and the included angle are given. Draw one given side, construct the given angle at one endpoint, and mark th

A triangle is constructed when two

A triangle is constructed when two angles and the included side are given. Draw the side first, construct the two angles at its endpoints, and let the

A right triangle is constructed when

A right triangle is constructed when the hypotenuse and one side are given. The right angle is constructed at vertex B. In Construction 5, BC = 3 cm,

Learning Objectives

  • Divide a line segment internally in a given ratio
  • Construct triangles using SSS, SAS, ASA and RHS data
  • Construct triangles when the perimeter and base angles are given
  • Construct triangles when the sum or difference of two sides, the third side and one base angle are given
  • Construct a triangle when two sides and a median are given

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.
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.

More resources for Constructions

All NIOS Class 10 Maths Chapter Summary

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