NCERT Solutions for Class 6 Maths Chapter 14: Practical Geometry - Exercise 14.4

Exercise 14.4

1. Draw any line segment $\overline {AB} $. Mark any point $M$ on it. Through $M$, draw a perpendicular to $\overline {AB} $. (Use ruler and compasses) 

Ans: Steps of construction: 

(i) With $M$ as a centre, draw an arc intersecting the line $AB$ at two points $C$ and $D$. 

(ii) With $C$ and $D$ as centres and a radius greater than $MC$, draw two arcs, which cut each other at $P$. 

(iii) Join $PM$. Then $PM$ is perpendicular to $AB$ through the point $M$. 

2. Draw any line segment $\overline {PQ} $. Take any point $R$ not on it. Through $R$, draw a perpendicular to $\overline {PQ} $. (Use ruler and set-square) 

Ans: Steps of construction: 

(i) Put a set-square on $PQ$ such that one arm of its right angle aligns along $PQ$. 

(ii) Put a ruler along the edge opposite to the right angle of the set-square.

(iii) Join $RM$ along the edge through $R$ meeting $PQ$ at $M$. Then $RM \bot PQ$.

3. Draw a line $l$ and a point $X$ on it. Through $X$, draw a line segment $\overline {XY} $ perpendicular to $l$. Now draw a line perpendicular to $\overline {XY} $ at $Y$. (use ruler and compasses)

Ans: Steps of construction: 

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

(ii) With $X$ as the centre, draw an arc intersecting the line '$l$' at two points $A$ and $B$.

(iii) With $A$ and $B$ as centres and a radius greater than $XA$, draw two arcs, which cut each other at $C$. 

(iv) Join $AC$ and produce it to $Y$. Then $XY$ is perpendicular to '$l$'. 

(v) With $D$ as the centre, draw an arc intersecting $XY$ at two points $C$ and $D$. 

(vi) With $C$ and $D$ as centres and radius greater than $YD$, draw two arcs, which cut each other at $F$. 

(vii) Join $YF$, then $YF$ is perpendicular to $XY$ at $Y$. 

NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.4

Opting for the NCERT solutions for Ex 14.4 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 14.4 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 14.4 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 14.4, 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. 

Do not delay any more. Download the NCERT solutions for Class 6 Maths Chapter 14 Exercise 14.4 from the Vedantu website now for better exam preparation. If you have the Vedantu app on your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.