**NCERT
Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.5**

NCERT
Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.5 are the part of NCERT Solutions for
Class 6 Maths. Here you can find the NCERT Solutions for Class 6 Maths Chapter
14 Practical Geometry Ex 14.5.

**NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.1****NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.2****NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3****NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.4****NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.5****NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.6**

**Ex
14.5 Class 6 Maths Question 1.**

Draw AB of length 7.3 cm and find its axis of
symmetry.**Solution:**

The
perpendicular bisector of a line segment is its axis of symmetry.**
**Step 1: Draw a line segment AB = 7.3 cm.

Step 3: Join C and D to intersect AB at E.

Thus,
CD is the axis of symmetry of AB.

**Ex
14.5 Class 6 Maths Question 2.**

Draw a line segment of length 9.5 cm and construct
its perpendicular bisector.**Solution:
**Step 1: Draw a line segment PQ = 9.5 cm.

Step 3: Join R and S to meet PQ at T.

Thus, RS is the perpendicular bisector of PQ.

**Ex 14.5 Class 6 Maths Question 3.**

Draw the perpendicular bisector
of XY whose length is 10.3 cm.(a) Take any point P on the bisector drawn. Examine whether PX = PY.

(b) If M is the midpoint of XY. What can you say about the length of MX and MY?

**Solution:****
**Step 1: Draw a line segment XY = 10.3 cm.

Step 2: With centres X and Y and radius more than half of XY, draw two arcs which intersect each other at U and V.

Step 3: Join U and V which intersects XY at M.

Step 4: Take a point P on UV.

(a) On measuring, PX = PY = 5.6 cm.

(b) On measuring, MX = MY = ½ XY = 5.15 cm.

**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 1: Draw a line segment AB = 12.8 cm

Step 2: With centres A and B and radius more than half of AB, draw two arcs which intersect each other at D and E.

Step 3: Join D and E which intersects AB at C which is the midpoint of AB.

Step 4: With centres A and C and radius more than half of AC, draw two arcs which intersect each other at F and G.

Step 5: Join F and G which intersects AC at H which is the midpoint of AC.

Step 6: With centres C and B and radius more than half of CB, draw two arcs which intersect each other at J and K.

Step 7: Join J and K which intersects CB at L which is the midpoint of CB.

Thus, on measuring, we find

AH = HC = CL = LB = 3.2 cm.

**Ex
14.5 Class 6 Maths Question 5.**

With PQ of length
6.1 cm as diameter, draw a circle.**Solution:
**Step 1: Draw a line segment PQ = 6.1 cm.

Step 2: Draw a perpendicular bisector of PQ which intersects PQ at R, i.e., R is the midpoint of PQ.

Step 3: With centre R and radius equal to RP, draw a circle passing through P and Q.

Thus, the circle with diameter PQ = 6.1 cm is drawn.

**Ex
14.5 Class 6 Maths Question 6.**

Draw a circle with centre C and radius 3.4 cm. Draw
any chord AB. Construct the
perpendicular bisector of AB and
examine if it passes through C.**Solution:
**Step 1: Draw a circle with centre C and radius 3.4
cm.

Step 2: Draw a chord AB of the circle.

Step 3: Draw the perpendicular bisector of AB which passes through the centre C.

**Ex
14.5 Class 6 Maths Question 7.**

Repeat Question 6, if AB happens to be a diameter.**Solution:
**Step 1: Draw a circle with centre C and radius 3.4
cm.

Step 2: Draw a diameter AB of the circle.

Step 3: Draw a perpendicular bisector of AB which passes through the centre C and on measuring, we find that C is the midpoint of AB.

**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 1: Draw a circle with centre O and radius 4 cm.

Step 2: Draw any two chords AB and CD of the circle.

Step 3: Draw the perpendicular bisectors of AB and CD, i.e., I and m.

Step 4: On producing, the two perpendicular bisectors intersect 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 OA and OB. Let them meet at P. Is PA = PB?**Solution:
**Step 1: Draw an angle XOY with O as its vertex.

Step 2: Take any point A on OY and B on OX, such that OA = OB.

Step 3: Draw the perpendicular bisectors of OA and OB which intersect each other at a point P.

Step 4: Measure the lengths of PA and PB. Yes, PA = PB.

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