Is it true that a line of 15cm can be divided into lengths of 7cm each by constructing a perpendicular bisector through it?

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True

False

answer is B.

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Detailed Solution

We have to check if a line of 15cm can be divided into lengths of 7cm each by constructing a perpendicular bisector through it.
First, a line PQ of 15cm is drawn and then an arc from point P is drawn.
Next, another arc is drawn from point Q.
A line is drawn from where these two intersections of the arc meet that is line AB.
So, point O becomes the centre of the 15cm line.
Thus OP=OQ=7.5cm which we measure using a ruler.
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Hence, the given statement is false and option 2 is correct.
Therefore, a line of 15cm can be divided into lengths of 7.5cm each by constructing a perpendicular bisector through it.

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