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

Exercise 14.2

1. Draw a line segment of length \[7.3\]cm, using a ruler. 

Ans: Steps of construction:

(i) Place the starting end of the scale at point $A$. 

(ii) Mark a point $B$ at a distance of $7.3$cm from $A$. 

(iii) Join $AB$. 

$\overline {AB} $ is the required line segment of length $7.3$cm.

2. Construct a line segment of length $5.6$cm using a ruler and compasses. 

Ans: Steps of construction:

(i) Draw a line '$l$'. Mark a point $A$ on this line. 

(ii) Place the starting end of the scale at point $A$. 

(iii) Measure a length of $5.6$cm and mark a point $B$ on the line using the compass. 

$\overline {AB} $ is the required line segment of length $5.6$cm.

3. Construct $AB$ of length $7.8$cm. From this cut off $\overline{AC}$ of length $4.7$cm. Measure $\overline{BC}$. 

Ans: Steps of construction:

(i) Place the starting end of the scale at point $A$.

(ii) Mark a point $B$ at a distance $7.8$cm from $A$. 

(iii) Mark a point $C$ at a distance $4.7$cm from $A$. 

(iv) By measuring $\overline{BC}$, we find that $\overline{BC} = 3.1$cm.

4. Given $\overline{AB}$ of length $3.9$cm, construct $\overline{PQ}$ such that the length $\overline{PQ}$ is twice that of $\overline{AB}$. Verify by measurement. 

(Hint: Construct $\overline{PX}$ such that length of $\overline{PX} = {\text{length of }}AB$; then cut off $\overline{XQ}$ such that $\overline{XQ}$ also has the length of $\overline{AB}$.) 

Ans: Steps of construction:

(i) Draw a line '$l$'. 

(ii) Construct $\overline{PX}$ such that length of $\overline{PX} = {\text{length of }}AB$. 

(iii) Then cut off $\overline{XQ}$ such that $\overline{XQ}$ also has the same length that of $\overline{AB}$. 

(iv) The length of $\overline{PX}$ and the length of $\overline{XQ}$ added together make twice the length of$\overline {AB} $.

Verification: 

By measurement we find that $\overline{PQ} = 7.8$cm

$\overline{PQ} = 3.9 + 3.9$ 

$\overline{PQ} = \overline {AB}  + \overline {AB} $ 

$\overline{PQ} = 2 \times \overline {AB} $ 

Hence, verified.

5. Given $\overline{AB}$ of length $7.3$cm and $\overline{CD}$ of length $3.4$cm, construct a line segment $\overline{XY}$ such that the length of $\overline{XY}$ is equal to the difference between the lengths of $\overline{AB}$ and $\overline{CD}$. Verify by measurement.

Ans: Steps of construction:

(i) Draw a line '$l$' and take a point $X$ on it. 

(ii) Construct $\overline {XZ} $ such that length $XZ = {\text{length of }}AB = 7.3$cm 

(iii) Then cut $ZY = {\text{length of }}CD = 3.4$cm 

(iv) Thus the length of $\overline {XY}  = {\text{length of }}AB - {\text{length of }}CD$.

Verification: 

By measurement we find that length of $\overline{XY} = 3.9$cm

$\overline{XY} = 7.3cm - 3.9cm$ 

$\overline{XY} = \overline{AB} - \overline{CD}$ 

Hence, verified.

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

Opting for the NCERT solutions for Ex 14.2 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 14.2 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Subject Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 14 Exercise 14.2 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 14 Exercise 14.2, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

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