Question

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

5.6 cm

Answer 1

Construction:

Step 1: Drawn a line and marked two points A and B on it so that AB = 5.6 cm

Step 2: Using compass with A as centre and radius more than half of the length of AB, drawn two arcs of the same length, one above AB and one below AB

Step 3: With the same radius and B as centre drawn two arcs to cut the arcs drawn in step 2 and marked the points of intersection of the arcs as C and D

Step 4: Joined C and D. CD intersects AB. Marked the point of intersection as ‘O’.

CD is the required perpendicular bisector of AB.

Now ∠AOC = 90°

AO = BO

= 2.8 cm