MP Board Class 6th Maths Solutions Chapter 14 Practical Geometry Ex 14.5

MP Board Class 6th Maths Solutions Chapter 14 Practical Geometry Ex 14.5

MP Board Class 6th Maths Solutions Chapter 14 Practical Geometry Ex 14.5

Question 1.

Question 2.
Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
Solution:
Steps of construction :

Question 3.

Question 4.
Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.
Solution:
Steps of construction:

Question 6.

Question 7.

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:
Steps of construction :

(i) Draw the circle with centre O and radius 4 cm.
(ii) Draw any two chords AB and CD in this, circle.
(iii) With A as center and radius more than half AB, draw two arcs one on each side of AB.
(iv) With B as centre and radius same as in step (ii), draw two arcs cutting the arcs drawn in previous step at E and F.
(v) Join EF. Thus EF is the perpendicular bisector of chord AB.
(vi) Similarly, draw GH the perpendicular bisector of chord CD.
(vii) These two perpendicular bisectors meet at O, the centre of the circle.

Question 9.

Solution:
Steps of construction :

(i) Draw any angle with vertex O.
(ii) Take a point A on one of its arms and B on another such that OA = OB.
(iii) Draw perpendicular bisector of OA and OB.
(iv) Let they meet at P. Join PA and PB.
(v) With the help of divider, we check that PA = PB.

MP Board Class 6th Maths Solutions