Class 6 Maths - WEST-BENGAL

Playing with Constructions

The chapter 'Playing with Constructions' in Class 6 Mathematics under the West Bengal Board of Secondary Education (WBBSE) introduces students to the fascinating world of geometric drawing using basic tools like a ruler, compass, divider, and set-squares. Students learn step-by-step methods to draw geometric figures accurately, including line segments of given lengths, perpendicular lines, angle bisectors, and standard angles like 60°, 30°, and 90°. This chapter is crucial for building a strong foundation in geometry, training students in precision and neatness, and carries significant weightage in board-aligned school assessments through direct construction-based problems.

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Key Concepts

Line Segment Construction

Drawing a straight path between two fixed points of an exact given length using a ruler and compass.

Perpendicular Bisector

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

Angle Bisector

Using a compass to divide any given angle into two exactly equal smaller angles.

Standard Angle Construction

Drawing specific angles like 60°, 120°, 90°, and 30° using only a ruler and a pair of compasses without a protractor.

Parallel Lines

Constructing a line parallel to a given line through a point outside it using compass arcs and a ruler.

Important Formulas

Length of bisected segment = Total Length / 2
Measure of bisected angle = Total Angle Measure / 2
Sum of complementary angles = 90°
Sum of supplementary angles = 180°

Board Exam Info

In WBBSE Class 6 examinations, this chapter typically carries around 5 to 8 marks. Questions are mostly practical, requiring students to draw accurate geometrical figures using a compass and ruler with clear arc markings.

Frequently Asked Questions

Can I use a protractor to draw a 60-degree angle in this chapter?

No, questions in this chapter usually test your ability to use a compass and ruler for standard constructions like 60°, 90°, and angle bisectors.

Why is it important to keep pencil leads sharp during geometric constructions?

A sharp pencil ensures fine, accurate lines and precise intersection points, which prevent errors in your final construction.

Should I erase the construction arcs in my final answer?

No, never erase your construction arcs! Examiners look for these arcs to verify that you used the correct step-by-step geometrical method.

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