Haryana State Board HBSE 6th Class Maths Solutions Chapter 14 Practical Geometry Ex 14.4 Textbook Exercise Questions and Answers.
Haryana Board 6th Class Maths Solutions Chapter 14 Practical Geometry Exercise
14.4
Question 1.
Draw any line \(\overleftrightarrow{\mathrm{AB}}\) . Make any point M on it. Through M draw a
perpendicular to \(\overleftrightarrow{\mathrm{AB}}\) . (Use Ruler and compasses).
Solution:
(i.) With M as centre and a convenient radius, draw an arc intersecting the line \(\overleftrightarrow{\mathrm{AB}}\) at two points C and D.
(ii) With C and D as centres and a radius greater than MC, draw two arcs, which cut each other at P.
(iii) Join PM. Then PM is perpendicular to AB through the point M [Fig.].
Question 2.
Draw any line \(\overleftrightarrow{\mathrm{PQ}}\) . Take any point R not on it. Through R draw a perpendicular to \(\overleftrightarrow{\mathrm{PQ}}\) (Use Ruler and set-square).
Soution:
(i) Place a set-square on \(\overleftrightarrow{\mathrm{PQ}}\) such that one arm of its right-angle aligns along \(\overleftrightarrow{\mathrm{PQ}}\) .
(ii) Place a ruler along the edge opposite to the right-angle of the set- P square.
(iii) Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set-square.
(iv) Join RM along the edge through R meeting \(\overleftrightarrow{\mathrm{PQ}}\) at M. Then, RM ⊥ PQ.
Question 3.
Draw a line T and a point X on it. Through X, draw a line \(\overleftrightarrow{\mathrm{XY}}\) perpendi¬cular to Z. Now, draw a perpendicular to \(\overleftrightarrow{\mathrm{XY}}\) at Y. (Use ruler and compasses).
Solution:
(i) Draw a line ‘l’ and take point X on it.
(ii) With X as centre and a convenient radius, draw an arc intersecting the line ‘l’ at two points A and B.
(iii) With A and B as centres and a radius greater than XA, draw two arcs, which cut each other at C.
(iv) Join XC and produce it to Y. Then XY is perpendicular to l.
(v) With D as centre and a convenient radius, draw an arc intersecting XY at two points C and D.
(vi) With C and D as centres and a radius greater than YD, draw two arcs, which cut each other at F.
(vii) Join YF, then YF is perpendicular to XY at Y.