Question

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

8 cm

Answer 1

Construction:

Step 1: Drawn a line. Marked two points A and B on it so that AB = 8 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.

Marked the points of intersection of the arcs as C and D.

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

CD is the required perpendicular bisector of AB.

AO = OB

= `8/2`

= 4 cm, ∠AOC = 90°