NCERT Solutions For Class 6 Maths Ex 14.4

NCERT Solutions For Class 6 Maths Ex 14.4 PDF Free Download

Perpendiculars and their construction using compass and ruler are the main concepts which are discussed under exercise 14.4. These concepts are explained in a simple way to make it easy for the students during exam preparation. Students can get their doubts cleared instantly by solving textbook problems using solutions designed by our experts. Students can download NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Exercise 14.4 free PDF, from the links which are given here.

NCERT Solutions for Class 6 Chapter 14: Practical Geometry Exercise 14.4 Download PDF

 

ncert solutions for class 6 maths chapter 14 ex 4
ncert solutions for class 6 maths chapter 14 ex 4
ncert solutions for class 6 maths chapter 14 ex 4
ncert solutions for class 6 maths chapter 14 ex 4

 

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

1. Draw any line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 1. Mark any point M on it. Through M, draw a perpendicular to NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 2. (use ruler and compasses)

Solutions:

(1) Draw a line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 3
and mark a point M on it.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 4

(2) Taking M as centre and a convenient radius, construct an arc intersecting the line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 5
at points C and D respectively.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 6

(3) By taking centres as C and D and radius greater than CM, construct two arcs such that they intersect each other at point E.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 7

(4) Join EM. Now
NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 8is perpendicular to NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 9

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 10

2. Draw any line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 11. Take any point R not on it. Through R, draw a perpendicular to NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 12. (use ruler and set-square)

Solutions:

(1) Draw a given line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 13
and mark a point R outside the line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 14

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 15

(2) Place a set square on NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 16
such that one of its right angles arm aligns along NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 17

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 18

(3) Now, place the ruler along the edge opposite to right angle of set square.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 19

(4) Hold the ruler fixed. Slide the set square along the ruler such that the point R touches the other arm of set square.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 20

(5) Draw a line along this edge of set square which passes through point R. Now, it is the required line perpendicular to NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 21

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 22

3. Draw a line l and a point X on it. Through X, draw a line segment NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 23perpendicular to l.

Now draw a perpendicular to XY at Y. (use ruler and compasses)

Solutions:

(1) Draw a line l and mark a point X on it.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 24

(2) By taking X as centre and with a convenient radius, draw an arc intersecting the line l at points A and B respectively.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 25

(3) With A and B as centres and a radius more than AX, construct two arcs such that they intersect each other at point Y.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 26

(4) Join XY. Here NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 27
is perpendicular to l
NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 28

Similarly, by taking C and D as centres and radius more than CY, construct two arcs intersecting at point Z. Join ZY. The line
NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 29is perpendicular to NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 30
at Y

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.4 - 31


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