Exercise 14.4

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.

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.

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.

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.

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