Practical Geometry

The chapter of Practical Geometry for Class 6 is meant to impart knowledge about the various geometrical quantities like angle, radius, length of the line segment, etc. The practical approach for calculating these quantities using multiple tools of construction is taught to you so that you can get acquainted with the intricacies of the chapter.

Now, learn the nuances of Practical Geometry Class 6 quickly and perform well in academics. You will be able to construct geometrical diagrams using the tools as you study from these notes and excel in academic ventures. 

Practical Geometry – Learn with us 

In order to start constructing geometrical figures, referring to NCERT solution for class 6 Maths Chapter 14 Practical Geometry is a necessity. Here, get familiar with the geometrical tools first. 

• Geometrical tools/ Instrument 

• Construction 

1. A line segment 

To construct a line segment of definite length, you need 

• Compass,

• Ruler. 

Step 1. Draw a line segment of any length using a ruler and mark a point ‘A’ anywhere. 

Step 2. Take the compass and put the compass pointer on mark ‘0’ of scale. Stretch the pencil to a definite length; say at ‘5 cm’ on the ruler. 

Step 3. Place the compass pointer at a point ‘A’ and draw a 5 cm arc intersecting the already drawn line segment. Mark the point of intersection as ‘B’. Now, ‘AB’ represents a line segment of length ‘5 cm’. 

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2. Parallels and Perpendiculars 

Using a ruler and compass – 

Step 1. Draw a line ‘CB’ as shown in the picture below and mark a point ‘A’ as its centre. Put the compass pointer on ‘A’ and draw a big arc on it. 

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Step 2. Keeping the compass length same as before, draw arcs by keeping points ‘C’ and ‘B’ as the centre so that they intersect at a point ‘D’. 

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Step 3. Draw a perpendicular from point ‘D’ to ‘A’. 

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3. Circle 

You can easily construct a circle of the known radius using a compass. Put the compass pointer at ‘0’ in ruler and draw the pencil for a specific radius. Keeping ‘O’ as the centre place the compass pointer on it and rotate the compass to make a full circle. 

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4. Angles 

In Class 6 Maths Practical Geometry, you will find numerous questions that ask you to determine angles or draw angles. You can either use a protractor or a compass. The use of protractor is easy as you need to place the point ‘0’ at the vertex alongside one line and measure the angle made by another line on it, by marking it on the protractor. 

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Draw 600 angle –

Step 1. Draw a straight line segment m and mark a point ‘C’ on it. 

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Step 2. Put the compass pointer on point ‘C’ and draw an arc on the line and name it ‘D’. Now, taking the point ‘D’ as centre draw another arc so that it intersects the previous arc and name it as ‘E’. 

Step 3. Draw a straight line from C to E to make an angle of 600 with line m. 

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Draw 1200 angle – 

Step 1. Draw a straight line segment m and mark a point ‘C’ on it. 

Step 2. Put the compass pointer on point ‘C’ and draw a big arc on the line and name it ‘D’. Now, taking the point ‘D’ as centre draw another arc so that it intersects the previous arc and name it as ‘E’. 

Step 3. Place the compass pointer on ‘E’ and make another arc on the ‘D’ arc and name it as ‘F’. Join the points ‘C’ and ‘F’ to make an angle of 1200. 

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Now that you are familiar with the concepts of NCERT Class 6 Maths Practical Geometry, you will be able to practice questions and exercises quickly.

In case you want to increase your understanding of the subject, you can refer to Vedantu’s Practical Geometry Class 8 solutions. Refer to our Practical Geometry Class 7 notes and improve your academic performance. Download Vedantu’s app now and excel in academics.