It is not possible to draw the perpendicular bisector of a line segment using a protractor and a ruler with no markings on it.
False
The given statement is false. Let's see how we can draw a perpendicular bisector of a line segment. But before this, let's understand what a perpendicular bisector is. A perpendicular bisector is a line which is perpendicular to the original line and also bisects (divides into two equal parts) it.
Steps of construction : -
(i) Draw a line segment AB of 5cm.
(ii) Make angles 60∘ on both the ends such that the lines along those angles intersect at C. Now we have an equilateral triangle formed.
(iii) Taking AC as the base side, draw 30∘ angle at C such that it intersects AB at D.
(iv) Point D bisects AB and ∠CDB is 90∘. So, CD is the perpendicular bisector of AB.