Question

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

58 mm

Answer 1

58 mm = `58 xx 1/10` cm = 5.8 cm

Construction:

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

AB = 5.8 cm = 58 mm.

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 of drawn in step 2.

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.

∠AOC = 90°

AO = BO

= 2.9 cm