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Question

It is not possible to draw the perpendicular bisector of a line segment using a protractor and a ruler with no markings on it.


A

True

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B

False

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Solution

The correct option is B

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.


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