Class 6 Maths - RAJASTHAN

Playing with Constructions

The chapter 'Playing with Constructions' in Class 6 Mathematics introduces students to the wonderful world of geometrical drawing using simple tools like a ruler, compass, divider, and protractor. Rajasthan Board students will learn step-by-step methods to draw basic shapes accurately, including line segments of given lengths, perpendicular lines, angle bisectors, and standard angles like 60, 90, and 120 degrees. This chapter builds the foundational spatial and precision skills required for advanced geometry in higher classes. Mastering these practical construction techniques is essential for scoring well in both school board practical exams and theory papers.

Start Learning Free

Key Concepts

Line Segment Construction

Drawing a straight line of an exact given length using a ruler and compass without any errors.

Perpendicular Bisector

Constructing a line that divides a given line segment into two equal halves at a 90-degree angle using a compass.

Angle Bisector

Dividing any given angle into two equal smaller angles using a compass and a ruler.

Standard Angles

Constructing specific angles like 60°, 90°, and 120° using only a compass and ruler without relying on a protractor.

Circle Construction

Drawing a circle of a specified radius or diameter using the compass and measuring with a scale.

Important Formulas

Perpendicular bisector cuts a line segment AB into two equal parts: AP = PB
An angle bisector divides angle ABC into two equal parts: angle ABD = angle DBC = (1/2) angle ABC
Diameter of a circle = 2 x Radius (d = 2r)

Board Exam Info

In the Rajasthan Board Class 6 mathematics examination, this chapter typically carries around 4 to 6 marks. Common question types include drawing angle bisectors, constructing standard angles like 60° or 90° using a compass, and drawing perpendicular bisectors of given line segments.

Frequently Asked Questions

Can I use a protractor to draw a 60-degree angle in construction questions?

No, standard construction questions require you to use only a compass and a ruler to draw angles like 60°, 90°, and 120°.

Why is my compass slipping while drawing circles or arcs?

Make sure the pencil tip and the metal needle of the compass are adjusted to the exact same height, and tighten the screw properly.

What is the difference between a ruler and a divider?

A ruler is used for measuring lengths and drawing straight lines, while a divider is used specifically to compare lengths between two points accurately.

Learn Playing with Constructions with Your AI Tutor

10 different ways to study this chapter. Free for 3 chapters per day.

Lecture

Key Points

Interactive

Quiz

Flashcards

Start Learning Free

More Maths Chapters - RAJASTHAN Class 6