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You are here: Home / NCERT Solutions / Class 6 / Maths / Chapter 14 Practical Geometry / Exercise 14.4

Exercise 14.4

Last Updated on September 25, 2020 By Mrs Shilpi Nagpal Leave a Comment

Exercise 14.1
Exercise 14.2
Exercise 14.3
Exercise 14.4
Exercise 14.5
Exercise 14.6

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

Page 284

Ex 14.4 Class 6 Maths Question 1. Draw any line segment \(\overline {\bf AB }\). Mark any point M on it. Through M, draw a perpendicular to \(\overline {\bf AB }\). (use ruler and compasses)

Answer

Step 1: Draw a line segment \(\overline {\bf AB }\) and mark any point M on it.

Step 2:
Place pointer at A as center, and radius more than AM, draw an arc. With B as center, and same radius as before, draw an arc.

Ex 14.4 Class 6 Maths Answer 1

Step 3: Mark the point of intersection of the two arcs as point N Join M & N.

MN is the line perpendicular to line AB

Ex 14.4 Class 6 Maths Question 2. Draw any line segment \(\overline {\bf PQ }\) . Take any point R not on it. Through R, draw a perpendicular to \(\overline {\bf PQ }\) . (use ruler and set-square)

Answer

Step 1: Draw a line segment \(\overline {\bf PQ }\) and a point R outside of \(\overline {\bf PQ }\).

Step 2: Place a set square on \(\overline {\bf PQ }\) such that one side of its right angle be along it.

Step 3: Place a ruler along the longer side of the set square.

Step 4: Hold the ruler fix and slide the set square along the ruler till it touches the point R.

Ex 14.4 Class 6 Maths Answer 2

Step 5: Join RS along the edge through R. Thus \(\overline {\bf RS }\) ⊥ \(\overline {\bf PQ }\).

Ex 14.4 Class 6 Maths Question 2. Draw a line l and a point X on it. Through X, draw a line segment \(\overline {\bf XY }\) perpendicular to l. Now draw a perpendicular to \(\overline {\bf XY }\) at Y. (use ruler and compasses)

Answer

Step 1: Draw a line l and take a point X on it.

Step 2:
Draw an arc with centre X and of suitable radius to intersect the line l at two points A and B.

Step 3: With P and Q as centres and a radius greater than P draw two arcs to intersect each other at Y.

Ex 14.4 Class 6 Maths Answer 3

Step 4:
Join YX and produce to Y.

Step 5:
With Y as centre and a suitable radius, draw an arc to intersect \(\overline {\bf XY }\) at two points P and Q.

Step 6:
With P and Q as centres and a radius greater than \(\overline {\bf YQ }\), draw two arcs to intersect each other at Z.

Ex 14.4 Class 6 Maths Answer 3

Step 7:
Join Y and Z. Thus \(\overline {\bf YZ }\) ⊥ \(\overline {\bf XY }\).

Filed Under: Chapter 14 Practical Geometry, Class 6, Maths, NCERT Solutions

About Mrs Shilpi Nagpal

Author of this website, Mrs Shilpi Nagpal is MSc (Hons, Chemistry) and BSc (Hons, Chemistry) from Delhi University, B.Ed (I. P. University) and has many years of experience in teaching. She has started this educational website with the mindset of spreading Free Education to everyone.

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