Ncert Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.2 Practical Geometry Exercise 14.2 Ncert Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.2 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 14.2 Class 6 Maths Ncert Solutions

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.2

Question 1.

Draw a line segment of length 7.3 cm. using a ruler.

Solution :

Using ruler, we mark two points A and B which are 7.3 cm apart. Join A and B and get AB. AB¯¯¯¯¯¯¯¯ is a line segment of length 7.3 cm.

Question 2.

Construct a line segment of length 5.6 cm using ruler and compasses.

Solution :

**Step 1.** Draw a line l. Mak a point A on line l.

**Step 2.** Place the compasses pointer on the ∠ero mark on the ruler. Open it to place the pencil point upto the 5.6 cm mark.

**Step 3.** Without changing the opening of the compasses, place the pointer on A and swing an arc to cut / at B.

**Step 4.** AB is a line segment of required length.

Question 3.

Construct AB¯¯¯¯¯¯¯¯ of length 7.8 cm. From this cut off AC¯¯¯¯¯¯¯¯ of length 4.7 cm. Measure BC¯¯¯¯¯¯¯¯.

Solution :

**Steps of Construction**

**Step 1.** Draw a line l. Mark a point A on line l.

**Step 2.** Place the compasses pointer on the ∠ero mark on the ruler. Open it to place the pencil point upto the 7.8 cm mark.

**Step 3.** Without changing the opening of the compasses, place the pointer on A and swing an arc to cut / at B.

**Step 4.** AB¯¯¯¯¯¯¯¯ is a line segment of length 7.8 cm.

**Step 5.** Place the compasses pointer on the ∠ero mark on the ruler. Open it to place the pencil point upto 4.7 cm mark.

**Step 6.** Without changing the opening of the compasses, place the pointer on A and swing an arc to cut / at C.

**Step 7.** AC¯¯¯¯¯¯¯¯ is a line segment of length 4.7 cm. On measurement. BC¯¯¯¯¯¯¯¯ =3.1 cm.

Question 4.

Given AB¯¯¯¯¯¯¯¯ of length 3.9 cm, construct PQ¯¯¯¯¯¯¯¯ such that the length of PQ¯¯¯¯¯¯¯¯ is twice that of AB Verify by measurement.

(**Hint :** Construct PX¯¯¯¯¯¯¯¯ such that length of PX = length of AB¯¯¯¯¯¯¯¯; then cut off XQ¯¯¯¯¯¯¯¯ such that XQ¯¯¯¯¯¯¯¯ also has the length of AB¯¯¯¯¯¯¯¯).

Solution :

**Steps of Construction**

**Step 1.** Draw a line I. Mark a point P on line l.

**Step 2.** Place the compasses pointer on the A mark of the given line segment AB¯¯¯¯¯¯¯¯ . Open it to place the pencil point upto B mark of the given line segment AB¯¯¯¯¯¯¯¯.

**Step 3.** Without changing the opening of the compasses, place the pointer on P and swing an arc to cut l at X.

**Step 4.** Again without changing the opening of the compasses place the compasses pointer on the X mark of line / and swing an arc to cut / at Q.

**Step 5.** PQ¯¯¯¯¯¯¯¯ is a line segment of length twice that of AB¯¯¯¯¯¯¯¯. Please verify yourself by measurement.

Question 5.

Given AB¯¯¯¯¯¯¯¯ of length 7.3 cm and CD¯¯¯¯¯¯¯¯ of length 3.4 cm, construct a line segment XY¯¯¯¯¯¯¯¯ such that the length of XY¯¯¯¯¯¯¯¯ is equal to the difference between the lengths of AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ . Verify by measurement.

Solution :

**Steps of Construction**

**Step 1.** Draw a line l. Mark a point X on line l.

**Step 2.** Place the compasses pointer on the A mark of the given line segment AB¯¯¯¯¯¯¯¯. Open it to place the pencil point upto B mark of the given line segment AB¯¯¯¯¯¯¯¯.

**Step 3.** Without changing the opening of the compasses, place the pointer of compasses on X and swing an arc to cut / at ∠.

**Step 4.** Place the compasses pointer on the C mark of the given line segment CD¯¯¯¯¯¯¯¯. Open it to place the pencil point upto D mark of the given line segment CD¯¯¯¯¯¯¯¯.

**Step 5.** Without changing the opening of the compasses, place the pointer of compasses on ∠ and swing an arc towards X to cut l at Y.

**Step 6.** XY¯¯¯¯¯¯¯¯ is a required line segment of length = the difference between the lengths of AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯.