# NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.4

These NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.4 Questions and Answers are prepared by our highly skilled subject experts.

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

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

• With M as centre and a convenient radius, draw an arc intersecting the line AB at two points C and B.
• With C and D as centres and a radius greater than MC, draw two arcs, which cut each other at P.
• Join PM. Then PM is perpendicular to AB through the point M.

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

• Place a set-square on $$\overline{\mathrm{PQ}}$$ such that one arm of its right angle aligns along $$\overline{\mathrm{PQ}}$$.
• Place a ruler along the edge opposite to the right angle of the set-square.
• Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set square.

• Join RM along the edge through R meeting $$\overline{\mathrm{PQ}}$$ at M. Then RM ⊥ PQ.

Question 3.
Draw a line 1 and a point X on it. Through X,draw a line segment $$\overline{\mathrm{XY}}$$ perpendicular to 1. Now draw a perpendicular to $$\overline{\mathrm{XY}}$$ to Y. (use ruler and compasses)