Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II)

Master Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II) with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Constructing an Eye

Constructing a Perpendicular Bisector

Constructing angle 90°

Construction Methods in Śulba-Sūtras

Constructing Angle Bisectors

Figure it out - Pag 144, 145

Constructing Copy of an Angle

Construction of a Line Parallel to the Given Line

Constructing Arch Designs

Constructing Regular Hexagon, Angle 60° and 6-pointed Star

Figure it out - Pag 154, 155

Tangrams

Tiling

Figure it out - Page 160

Tiling the Entire Plane

Why Learn This With Teachoo?

Welcome to Chapter 6: Constructions and Tilings from your Class 7 Maths book, Ganita Prakash Part 2. For mastering geometric constructions with precision, Teachoo is the best place to learn.

This chapter is all about drawing perfect geometric shapes. We will move beyond freehand sketching and learn the formal methods of construction using only an unmarked ruler and a compass.

We'll start by exploring how to draw a symmetrical shape, like an eye, which will introduce us to a fundamental technique: the perpendicular bisector. We will then use this idea, along with the rules of congruence, to build all our other constructions. The detailed explanations on Teachoo make these constructions easy to follow and master.


In this chapter, we will study:

  • Perpendicular Bisector: The method to perfectly cut a line segment in half at a 90° angle.

  • Constructing a 90° Angle: Using the bisector method to create a perfect right angle.

  • Angle Bisector: The precise steps to divide any given angle into two equal parts.

  • Constructing 60°, 30°, and 15° Angles: How to build these common angles from scratch.

  • Copying an Angle: A technique to duplicate any angle exactly.

  • Constructing Parallel Lines: Using the "copying an angle" method to draw a line perfectly parallel to another.

  • Constructing a Regular Hexagon: How to build this perfect six-sided shape.

  • Tilings: We will also investigate the fun topic of tilings—exploring how shapes like tangrams and other polygons can fit together to cover a surface without any gaps or overlaps.


From basic lines to complex patterns, Teachoo is the best place to learn every construction in this chapter.

Ready to start building? Click on any topic link to get started.