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# Exercise 5.3 (Construction of perpendicular bisector of a line segment)

Draw a line segment of given length and construct a perpendicular bisector to each line segment using scale and compass.

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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7th Maths : Term 1 Unit 5 : Geometry : Exercise 5.3 (Construction of perpendicular bisector of a line segment) | Questions with Answers, Solution | Geometry | Term 1 Chapter 5 | 7th Maths