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

*According to the latest update on the CBSE Syllabus 2023-24, this chapter has been removed.

NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.4 are provided here to help students in their exam preparations. Perpendiculars and their construction using a compass and ruler are the main concepts which are discussed under Exercise 14.4. The problems related to these concepts are explained in NCERT Solutions Class 6 Maths using simple methods to make it easy for the students during exam preparation. Students can get their doubts cleared instantly by solving textbook problems using these solutions designed by our subject experts.

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

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Access NCERT Solutions for Class 6 Maths 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 the 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 a 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 - 16such that one of its right angles arms 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 the right angle of the 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 point R touches the other arm of the set square.

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

(5) Draw a line along this edge of the 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 the 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


Also, explore –

NCERT Solutions for Class 6 Maths Chapter 14

NCERT Solutions for Class 6

NCERT Solutions

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