Ncert Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.4 Practical Geometry Exercise 14.4 Ncert Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.4 Chapter 14 Practical Geometry Class 6 Chapter 14 Maths Chapter 14 Class 6 Maths Maths Class 6 Chapter 14 Maths Chapter 14 Class 6 Ncert Maths Class 6 Chapter 14 Ncert Solutions For Class 6 Maths Chapter 14 Practical Geometry Class 6 Maths Chapter 14 Practical Geometry Ex 14.4 Class 6 Maths Ncert Solutions

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

Question 1.

Draw any line segment AB¯¯¯¯¯¯¯¯ . Mark any point M on it. Through M draw a perpendicular to AB¯¯¯¯¯¯¯¯. (use ruler and compasses).

Solution :

**Step 1.** Given a point M on any line AB¯¯¯¯¯¯¯¯.

**Step 2.** With M as centre and a convenient radius, construct a part circle (arc) intersecting the line segment AB¯¯¯¯¯¯¯¯ at two points C and D.

**Step 3.** With C and D as centres and a radius greater than CM, construct two arcs which cut each other at N.

**Step 4.** Join MN¯¯¯¯¯¯¯¯¯¯. Then MN¯¯¯¯¯¯¯¯¯¯ is perpendicular to AB¯¯¯¯¯¯¯¯ at M, i.e., MN¯¯¯¯¯¯¯¯¯¯ AB¯¯¯¯¯¯¯¯.

Question 2.

Draw any’line segment PQ¯¯¯¯¯¯¯¯. Take any point R not on it. Through R draw a perpendicular to PQ¯¯¯¯¯¯¯¯. (use ruler and set-square).

Solution :

**Step 1.** Let PQ¯¯¯¯¯¯¯¯ be the given line segment and R be a point not on it.

**Step 2.** Place a set-square on PQ¯¯¯¯¯¯¯¯ such that one arm of the right angle aligns along PQ¯¯¯¯¯¯¯¯.

**Step 3.** Place a ruler along the edge opposite of the right angle.

**Step 4.** Hold the ruler fixed. Slide the set-square along the ruler all the point R touches the arm of the set-square.

**Step 5.** Join RS along the edge through R, meeting PQ¯¯¯¯¯¯¯¯ at S. Now RS¯¯¯¯¯¯¯ PQ¯¯¯¯¯¯¯¯.

Question 3.

Draw a line l and a point X on it. Through X, draw a line segment XY¯¯¯¯¯¯¯¯ perpendicular to l. Now draw a perpendicular to XY at Y. (use ruler and compasses)

Solution :

**Step 1.** Given a point X on a line l.

**Step 2.** With X as centre and a convenient radius, construct a part circle (arc) intersecting the line l at two points A and B.

**Step 3.** With A and B as centres and a radius greater than AX, construct two arcs which cut each other at Y.

**Step 4.** Join XY¯¯¯¯¯¯¯¯. Then XY¯¯¯¯¯¯¯¯ is perpendicular to l atX, i.e., XY¯¯¯¯¯¯¯¯ l.