NCERT Solutions Class 6 Maths
Chapter – 14 (Practical Geometry)
The NCERT Solutions in English Language for Class 6 Mathematics Chapter – 14 Practical Geometry Exercise 14.2 has been provided here to help the students in solving the questions from this exercise.
Chapter 14: Practical Geometry
- NCERT Solution Class 6 Maths Exercise – 14.1
- NCERT Solution Class 6 Maths Exercise – 14.3
- NCERT Solution Class 6 Maths Exercise – 14.4
- NCERT Solution Class 6 Maths Exercise – 14.5
- NCERT Solution Class 6 Maths Exercise – 14.6
Exercise – 14.2
1. Draw a line segment of length 7.3 cm using a ruler.
Solutions:
Using a ruler, we can draw a line segment of length 7.3 cm as follows
Step 1: Mark a point A on the sheet
Step 2: Place the O mark of the ruler against the point P.
Step 3: Mark a point B at a distance of 7.3 cm from A.
Step 4: Join A and B.
Thus is the line segment of length 7.3 cm.
2. Construct a line segment of length 5.6 cm using ruler and compass.
Solutions:
By using a ruler and compasses, we may draw a line segment of length 5.6 cm as follows
Step 1: Draw a line l and mark a point A on this line l.
Step 2: Place the needle of the compass on the zero mark of the ruler and open it upto 5.6 mark.
Step 3: Place the needle at any point A at the line and draw an arc to cut l at B.
Thus, is the required line segment of length 5.6 cm.
3. Construct of length 7.8 cm. From this, cut off
of length 4.7 cm. Measure
.
Solutions:
Given that = 7.8 cm and
= 4.7 cm.
Step 1: Place zero mark of the ruler at A.
Step 2: Mark a point B at a distance of 7.8 cm from A.
Step 3: Mark another point C at a distance of 4.7 cm from A such that = 4.7 cm.
Step 4: On measuring the length of BC, we find that = 3.1 cm.
4. Given of length 3.9 cm. Construct
such that the length of
is twice that of
. Verify by measurement.
(Hint : Construct such that the length of
= length of
then cut off
such that
also has the length of
.)
Solutions:
Step 1: Draw a line l of suitable length.
Step 2: Draw = 3.9 cm
Step 2: From the line, construct =
= 3.9 cm.
Step 4: Again construct =
=3.9 cm
Verification : +
=
+
Thus twice of is equal to
.
5. Given of length 7.3 cm and
of length 3.4 cm, construct a line segment
such that the length of XY is equal to the difference between the length of
and
. Verify the measurement.
Solutions:
Step 1: Construct = 7.3 cm and
= 3.4 cm.
Step 2: Take a point P on the given line l.
Step 3: Construct such that
=
=
= 7.3 cm.
Step 4: Construct =
= 3.4 cm such that PQ =
–
.
Verification : On measuring, we observe that = 3.9 cm = 7.3 cm 3.4 cm. =
–
Thus, =
–
.