Class 6 Maths - HARYANA

Playing with Constructions

The chapter 'Playing with Constructions' in Class 6 Mathematics introduces students to the fascinating world of geometric drawing using basic tools like the ruler, compass, divider, set-squares, and protractor. Students learn step-by-step methods to draw geometric shapes with accuracy. They explore how to construct a line segment of a given length, copy a given line segment, draw perpendicular lines, perpendicular bisectors, and various angles including 60, 30, 90, 45, and 120 degrees. This chapter builds a strong foundation for advanced geometry in later classes and is very important for scoring well in Haryana (BSEH) board exams.

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Key Concepts

Line Segment Construction

Learning to draw a straight line segment of an exact given length using a ruler and compass without errors.

Perpendicular Bisector

Constructing a line that divides a given line segment into two equal halves at a right angle (90 degrees) using a compass.

Copying an Angle

Using a compass and ruler to replicate an exact angle of any given measure without using a protractor.

Standard Angles Construction

Step-by-step drawing of standard angles like 60 degrees, 120 degrees, 90 degrees, and their angle bisectors using only a ruler and compass.

Angle Bisector

Constructing a ray that divides a given angle into two equal parts using a compass.

Important Formulas

Perpendicular Bisector divides a line segment AB into two equal parts: AP = PB
Angle Bisector divides angle ABC into two equal angles: angle ABD = angle DBC = 1/2 of angle ABC
Construction of 60 degree angle is done by drawing an arc and cutting it with the same radius from the baseline.

Board Exam Info

In the Haryana (BSEH) Class 6 Mathematics exams, this chapter usually carries around 5 to 8 marks. Question types typically include drawing specific line segments, constructing perpendicular bisectors, and drawing standard angles (like 60, 90, or 45 degrees) using a ruler and compass. Step-by-step writing of construction steps is sometimes required.

Frequently Asked Questions

Can I use a protractor to draw all angles in this chapter?

No, for most construction questions in this chapter, you are expected to use only a ruler and a compass to show proper geometric construction steps.

Why do we need to write steps of construction?

Writing steps of construction helps the teacher understand how you drew the figure and ensures you get full marks even if the drawing has minor errors.

How do I construct a 30-degree angle?

First, construct a 60-degree angle using a compass, and then draw its angle bisector to get 30 degrees.

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