Questions with Answers, Solution | Geometry | Term 1 Chapter 5 | 7th Maths - Exercise 5.3 (Construction of perpendicular bisector of a line segment) | 7th Maths : Term 1 Unit 5 : Geometry
Chapter: 7th Maths : Term 1 Unit 5 : Geometry
Exercise 5.3 (Construction of perpendicular bisector of a line segment)
Exercise 5.3
1.
Draw a line segment of given length and construct a perpendicular bisector to each
line segment using scale and compass.
(a)
8 cm
(b)
7cm
(c)
5.6 cm
(d)
10.4 cm
(e)
58 mm
(a) 8 cm
Step 1 : Draw a line. Mark two points A and B on it so that AB = 6 cm
Step 2 : Using compass, A as center and radius more than half of the length
of AB draw two arcs one above AB and one below AB.
Step 3 : With the same radius and B as center draw two arcs above and
below AB. They cut the previous arcs at C and D.
Step 4 : Join C and D. CD intersects AB. Mark the point of intersection
as O. CD is the required perpendicular bisector of AB.
(b) 7 cm
Step 1 : Draw a line. Mark two points A and B on it so that AB = 7 cm
Step 2 : Using compass, A as center and radius more than half of the length
of AB draw two arcs one above AB and one below AB.
Step 3 : With the same radius and B as center draw two arcs above and
below AB. They cut the previous arcs at C and D. Previous arcs C and D.
Step 4 : Join C and D. CD intersects AB. Mark the point of intersection
as O. CD is the required perpendicular bisector of AB.
(c) 5.6 cm
Step 1 : Draw a line. Mark two points A and B on it so that AB = 5.6 cm
Step 2 : Using compass, A as center and radius more than half of the length
of AB draw two arcs one above AB and one below AB.
Step 3 : With the same radius and B as center draw two arcs above and
below AB. They cut the previous arcs at C and D.
Step 4 : Join C and D. CD intersects AB. Mark the point of intersection
as O.
CD is the required perpendicular bisector of AB.
(d) 10.4 cm
Step 1 : Draw a line. Mark two points A and B on it so that AB = 104 cm
Step 2 : Using compass, A as center and radius more than half of the length
of AB draw two arcs one above AB and one below AB.
Step 3 : With the same radius and B as center draw two arcs above and
below AB. They cut the previous arcs at C and D.
Step 4 : Join C and D. CD intersects AB. Mark the point of intersection
as O. CD is the required perpendicular bisector of AB
(e) 58 mm
Step 1 : Draw a line. Mark two points A and B on it. So that AB = 58 mm
Step 2 : Using compass, A as center and radius more than half of the length
of AB draw two arcs one above AB and one below AB.
Step 3 : With the same radius and B as center draw two arcs above and
below AB. They cut the previous arcs at C and D.
Step 4 : Join C and D. CD intersects AB. Mark the point of intersection as O. CD is the required perpendicular bisector of AB .
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