# NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.2

*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

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### 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 Â 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.

Â is 3.1 cm.

Â

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 ,Â such that the length of Â is twice that of Â 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.

Â is the required line segment. Using the ruler, we may measure the length of Â 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 Â = 7.3 cm and Â = 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.

Â is the required line segment

Now, the difference between the lengths of
and
= 7.3 â€“ 3.4

= 3.9 cm

Using the ruler, we may measure the length of which comes to 3.9 cm.

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NCERT Solutions for Class 6 Maths Chapter 14

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