NCERT Solutions For Class 6 Maths Ex 14.2

NCERT Solutions For Class 6 Maths Ex 14.2 PDF Free Download

Line Segment and its construction based on length are the topics which are explained under this exercise. The problems are solved in a step wise manner with explanations in simple language to improve conceptual knowledge among students. The solutions are available in PDF format, either chapter or exercise wise, based on the requirement of students. To perform well in the exam, students can download NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Exercise 14.2 PDF, from the links which are given here.

NCERT Solutions for Class 6 Chapter 14: Practical Geometry Exercise 14.2 Download PDF

 

ncert solutions for class 6 maths chapter 14 ex 2
ncert solutions for class 6 maths chapter 14 ex 2
ncert solutions for class 6 maths chapter 14 ex 2

 

Access NCERT Solutions for Class 6 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 0 mark of ruler at point A

Step 3: At 7.3 cm on 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 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 the 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 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 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 0 mark of the ruler will match with the 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 - 23
such 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 compasses up to the length of AB, place the pointer of compasses 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, 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 - 33such 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 compasses up to the length of CD and put the pointer of compasses at point A, draw an arc to cut AB at point P.

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

(3) Adjust the compasses 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 compasses 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, 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.


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