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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 1

Step 4: Now join A and B.

Here NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 2 is the required line segment.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 3

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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 4

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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 5

Step 3: Place the pointer of compasses on point A and draw an arc to cut l at B. Now, NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 6
is the line segment of 5.6 cm in length.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 7

3. Construct NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 8 of length 7.8 cm. From this, cut off NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 9 of length 4.7 cm. Measure NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 10.

Solutions:

Step 1: Draw a line l and mark a point A on it.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 11

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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 12is the line segment of 7.8 cm.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 13

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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 14is the line segment of 4.7 cm.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 15

Step 4: Now, place the ruler in such a way that the 0 mark of the ruler will match with point C.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 16

Now read the position of point B. It will be 3.1 cm.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 17 is 3.1 cm.

 

4. Given NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 18 of length 3.9 cm, construct NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 19 , such that the length of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 20 is twice that of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 21. Verify by measurement.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 22

Solutions:

We can draw a line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 23such that the length of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 24 is twice that of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 25 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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 26

(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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 27

(3) Again, place the pointer on point X, and draw an arc to cut line l at point Q.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 28

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 29 is the required line segment. Using the ruler, we may measure the length of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 30 which comes to 7.8 cm.

5. Given NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 31 of length 7.3 cm and NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 32 of length 3.4 cm, construct a line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 33, such that the length of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 34 is equal to the difference between the lengths of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 35 and NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 36 . Verify by measurement.

Solutions:

(1) Given NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 37 = 7.3 cm and NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 38 = 3.4 cm

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 39

(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.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 40

(3) Adjust the compass up to the length of PB. Draw a line l and mark a point X on it.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 41

(4) By placing the pointer of compass at point X, draw an arc to cut the line at Y.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 42

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 43 is the required line segment

Now, the difference between the lengths of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 44
and NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 45
= 7.3 – 3.4

= 3.9 cm

Using the ruler, we may measure the length of NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 - 46 which comes to 3.9 cm.


Also, explore –

NCERT Solutions for Class 6 Maths Chapter 14

NCERT Solutions for Class 6

NCERT Solutions

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