*According to the latest update on the CBSE Syllabus 2023-24, this chapter has been removed.
The NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.2 contain questions related to the line segment and its construction based on the length solved. The solutions are curated in a step-wise manner with explanations in simple language to improve conceptual knowledge among students. These NCERT Solutions Class 6 Maths are available in PDF format, either chapter or exercise-wise, based on the requirement of students.
NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.2
Access NCERT Solutions for Class 6 Maths Chapter 14: Practical Geometry Exercise 14.2
1. Draw a line segment of length 7.3 cm using a ruler.
Solutions:
Using a ruler, we can draw a line segment of length 7.3 cm as follows:
Step 1: Mark a point A on the sheet.
Step 2: Place the 0 mark of the ruler at point A.
Step 3: At 7.3 cm on the ruler, mark a point B on the sheet.
Step 4: Now join A and B.
Here 
 is the required line segment.
2. Construct a line segment of length 5.6 cm using a ruler and compasses.
Solutions:
By using a ruler and compasses, we may draw a line segment of length 5.6 cm as follows:
Step 1: Draw a line l and mark a point A on this line l.
Step 2: On the zero mark of the ruler, place the compasses. Now extend the compasses to place the pencil up to 5.6 cm and mark.
Step 3: Place the pointer of compasses on point A and draw an arc to cut l at B. Now, 
is the line segment of 5.6 cm in length.
3. Construct 
of length 7.8 cm. From this, cut off 
of length 4.7 cm. Measure 
.
Solutions:
Step 1: Draw a line l and mark a point A on it.
Step 2: By adjusting the compasses up to 7.8 cm, while putting the pointer of compasses on point A, draw an arc to cut l on B.
is the line segment of 7.8 cm.
Step 3: By adjusting the compasses up to 4.7 cm, draw an arc to cut l on C while putting the pointer of compasses on point A.
is the line segment of 4.7 cm.
Step 4: Now, place the ruler in such a way that the 0 mark of the ruler will match with point C.
Now read the position of point B. It will be 3.1 cm.
 is 3.1 cm.
4. Given 
of length 3.9 cm, construct 
, such that the length of 
is twice that of 
. Verify by measurement.
Solutions:
We can draw a line segment 
, such that the length of 
 is twice that of 
 as follows:
(1) Draw a line l and mark a point P on it. Let AB be the given line segment of 3.9 cm.
(2) By adjusting the compass up to the length of AB, place the pointer of the compass at point P and draw an arc to cut the line at X.
(3) Again, place the pointer on point X, and draw an arc to cut line l at point Q.
 is the required line segment. Using the ruler, we may measure the length of 
 which comes to 7.8 cm.
5. Given 
of length 7.3 cm and 
of length 3.4 cm, construct a line segment 
, such that the length of 
is equal to the difference between the lengths of 
and 
. Verify by measurement.
Solutions:
(1) Given 
 = 7.3 cm and 
 = 3.4 cm
(2) Adjust the compass up to the length of CD, and put the pointer of compasses at point A and draw an arc to cut AB at point P.
(3) Adjust the compass up to the length of PB. Draw a line l and mark a point X on it.
(4) By placing the pointer of compass at point X, draw an arc to cut the line at Y.
 is the required line segment
Now, the difference between the lengths of 
and 
= 7.3 – 3.4
= 3.9 cm
Using the ruler, we may measure the length of 
which comes to 3.9 cm.
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