- Practical Geometry Exercise 14.1
- Practical Geometry Exercise 14.2
- Practical Geometry Exercise 14.3
- Practical Geometry Exercise 14.4
- Practical Geometry Exercise 14.5
- Practical Geometry Exercise 14.6
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.5
Exercise 14.5
Ex 14.5 Class 6 Maths Question 1.
Draw AB of length 7.3 cm and find its axis of symmetry.
Solution:
Step I: Draw 
Step II: Taking A and B as centre and radius more than half of
Step III: Join C and D to intersect
Ex 14.5 Class 6 Maths Question 2.
Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
Solution:
Step I: Draw a line segment 
Step II: With centres P and Q and radius more than half of PQ, draw two arcs which meet each other at R and S.
Step III: Join R and S to meet
Thus, RS is the perpendicular bisector of PQ.
Ex 14.5 Class 6 Maths Question 3.
Draw the perpendicular bisector of
(a) Take any point P on the bisector drawn. Examine whether PX = PY.
(b) If M is the midpoint of
Solution:
Step I: Draw a line segment 
Step II : With centre X and Y and radius more than half of XY, draw two arcs which meet each other at U and V.
Step III: Join U and V which meets
Step IV: Take a point P on
(a) On measuring, PX = PY = 5.6 cm.
(b) On measuring,
Ex 14.5 Class 6 Maths Question 4.
Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.
Solution:
Step I: Draw a line segment 
Step II : With centre A and B and radius more than half of AB, draw two arcs which meet each other at D and E.
Step III : Join D and E which meets
Step IV : With centre A and C and radius more than half of AC, draw two arcs which meet each other at F and G.
Step V: Join F and G which meets
Step VI : With centre C and B and radius more than half of CB, draw two arcs which meet each other at J and K.
Step VII : Join J and K which meets
Thus, on measuring, we find
Ex 14.5 Class 6 Maths Question 5.
With
Solution:
Step I: Draw
Step II: Draw a perpendicular bisector of 
Step III : With centre R and radius equal to
Thus, the circle with diameter
Ex 14.5 Class 6 Maths Question 6.
Draw a circle with centre C and radius 3.4 cm. Draw any chord
Solution:
Step I: Draw a circle with centre C and radius 3.4 cm.
Step II: Draw any chord
Step III : Draw the perpendicular bisector of 
Ex 14.5 Class 6 Maths Question 7.
Repeat Question number 6, if
Solution:
Step I: Draw a circle with centre C and radius 3.4 cm.
Step II : Draw a diameter AB of the circle.
Step III : Draw a perpendicular bisector of AB which passes through the centre C and on measuring, we find that C is the midpoint of
Ex 14.5 Class 6 Maths Question 8.
Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?
Solution:
Step I: Draw a circle with centre 0 and radius 4 cm.
Step II: Draw any two chords
Step III : Draw the perpendicular bisectors of
Step IV : On producing the two perpendicular bisectors meet each other at the centre O of the circle.
Ex 14.5 Class 6 Maths Question 9.
Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of
Solution:
Step I: Draw an angle XOY with O as its vertex.
Step II : Take any point A on OY and B on OX, such that OA + OB.
Step III : Draw the perpendicular bisectors of OA and OB which meet each other at a point P.
Step IV : Measure the lengths of
