NCERT Class 6 Maths Chapter 8
Playing with Constructions
This chapter guides Class 6 CBSE students through hands-on geometric constructions using a compass and ruler, including drawing circles, perpendicular bisectors, angle bisectors, and constructing various types of triangles. Students develop precision and spatial reasoning skills while exploring geometric properties through construction. The chapter bridges theoretical geometry with practical drawing skills needed in higher classes.
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Key Terms
- Compass
- A drawing instrument with two arms used to draw circles or arcs of a specified radius in geometric constructions.
- Perpendicular Bisector
- A line that is perpendicular (at 90°) to a given line segment and passes through its midpoint, dividing it into two equal halves.
- Angle Bisector
- A ray that divides an angle into two equal halves; constructed using a compass and straightedge.
- Arc
- A part of the circumference of a circle, drawn using a compass set to a specific radius.
- Radius
- The distance from the centre of a circle to any point on its circumference.
- Diameter
- A chord that passes through the centre of a circle; it is twice the radius and is the longest chord of the circle.
Frequently Asked Questions
How do you construct a perpendicular bisector in Class 6 Maths?▾
Draw a line segment AB. Open the compass to more than half the length of AB. With A as centre, draw arcs above and below the line. Without changing the compass width, with B as centre, draw arcs intersecting the previous ones. Join the two intersection points — this is the perpendicular bisector.
How do you bisect an angle using a compass in Class 6 Maths?▾
Draw the angle. With the vertex as centre, draw an arc cutting both arms. With each intersection as centre and same radius, draw two arcs intersecting inside the angle. Join the vertex to this intersection — this is the angle bisector.
How do you construct a circle with a given radius in Class 6 Maths?▾
Set the compass to the required radius by measuring it on the ruler. Place the compass point at the centre point. Keeping the point fixed, rotate the pencil arm to draw a complete circle. Every point on the circle is at the same distance (radius) from the centre.
What tools are used in geometric constructions in Class 6?▾
The main tools used are a ruler (straightedge) for drawing straight lines and measuring, a compass for drawing arcs and circles, a protractor for measuring and drawing angles, and a set square for drawing perpendicular lines.
What is the difference between a sketch and a construction in Class 6 Maths?▾
A sketch is a rough freehand drawing that shows the shape and approximately correct proportions. A construction is a precise and accurate drawing made using tools (compass, ruler, protractor) with exact measurements and geometric properties.
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