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

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 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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