NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.2, are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.2.

## 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. 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 of length 7.8 cm. From this cut off of length 4.7 cm. Measure .

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.** 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.** is a line segment of length 4.7 cm. On measurement. =3.1 cm.

Question 4.

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

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

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 . Open it to place the pencil point upto B mark of the given line segment .

**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.** is a line segment of length twice that of . Please verify yourself by measurement.

Question 5.

Given of length 7.3 cm and of length 3.4 cm, construct a line segment such that the length of is equal to the difference between the lengths of and . 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 . Open it to place the pencil point upto B mark of the given line segment .

**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 . Open it to place the pencil point upto D mark of the given line segment .

**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.** is a required line segment of length = the difference between the lengths of and .

Please verify yourself by measurement.

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