The line of symmetry of a line segment is the ______ bisector of the line segment.

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Perpendicular

Parallel

Inclined

None of this

answer is A.

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Detailed Solution

Concept- The line of symmetry of the line segment passes through its centre. We are required to find how the line is passing through the centre of the line segment and divide the line segment into two similar or identical halves.
The line of symmetry is indeed an imaginary line or axis that divides a shape or figure into two exactly similar or identical halves. The line of symmetry generally passes through the shape's centre.
As a result, we know that there are an infinite number of lines that pass through the centre of a line segment at any angle, and that any straight line that passes through the centre of a line segment always divides the line segment in half. However, we must determine the angle at which this line, which passes through the centre of the line segment, divides the line segment into two similar or identical halves.
Now, we realise that only the straight line that passes through the centre of the line segment at a right angle divides the line segment into two similar or identical halves, implying that the line of symmetry of a line segment is its perpendicular bisector.
As a result, the line of symmetry of a line segment would be its perpendicular bisector.
Hence, the correct answer is option 1) Perpendicular.

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