Class 6 Maths - MAHARASHTRA

Playing with Constructions

The chapter 'Playing with Constructions' in Class 6 Mathematics for Maharashtra (MSBSHSE) introduces students to the wonderful world of geometric drawing using basic instruments like the ruler, compass, divider, and protractor. Students learn how to accurately draw line segments, perpendicular lines, angle bisectors, and copy given angles. This chapter is fundamental because it builds the core manual drawing skills required for advanced geometry in higher classes. Mastering these constructions ensures neatness and precision, helping students score full marks in geometry proofs and construction questions in board exams.

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Key Concepts

Perpendicular Bisector of a Line Segment

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

Angle Bisector

A ray that divides a given angle into two exact equal halves.

Perpendicular to a Line from a Point

Drawing a straight line at a 90-degree angle from a given external point to a line, or from a point lying on the line.

Copying an Angle

Using a compass and ruler to replicate an angle of the exact same measure elsewhere without using a protractor.

Use of Geometrical Instruments

Proper handling of the compass for drawing arcs and circles, the ruler for straight lines, and the divider for comparing lengths.

Important Formulas

Length of bisected segment = Total length / 2
Measure of bisected angle = Total angle / 2
Perpendicular angle = 90 degrees

Board Exam Info

In the Maharashtra (MSBSHSE) Class 6 mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include step-by-step construction problems such as drawing perpendicular bisectors, constructing angle bisectors, and drawing perpendiculars to a line.

Frequently Asked Questions

Why should we use a compass instead of a protractor to bisect an angle?

A compass and ruler method is a pure geometric construction that gives precise results without rounding errors, which is the standard method taught in geometry.

Is it compulsory to keep the pencil sharp while doing constructions?

Yes! A sharp pencil tip ensures thin, accurate lines and prevents errors in measurement during geometric constructions.

Can I erase my construction arcs in the exam?

No, you must never erase the construction arcs and circles. Examiners look at these pencil arcs as proof that you used the correct construction method.

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