Question

The line of symmetry of a line segment is the ________ bisector of the line segment.
A.Perpendicular
B.Parallel
C.Inclined
D.None of this

Answer 1

Hint: Here, we have to use the concept of line of symmetry. So, a line of symmetry of the line segment passes through its centre. So, we have to find how the line is passing through the centre of the line segment and divides the line segment into two similar or identical halves.

Complete step-by-step answer:
Line of Symmetry is an imaginary line or axis that divides a shape or figure into two exactly similar or identical halves and line of symmetry generally passes through the centre of the shape.
So, we know that there are infinite numbers of lines passes through the centre of the line segment at any angle and any straight line which passes through the centre of the line segment always divides the line segment into two half’s. But we have to see at what angle of this line which is passing through the centre of the line segment divides the line segment in the two similar or identical halves.
So we know that only the straight line which passes through the centre of the line segment at right angle divides the line segment in the two similar or identical halves, which means that the line of symmetry of a line segment is the perpendicular bisector of the line segment.
Therefore, the line of symmetry of a line segment is the perpendicular bisector of the line segment.
So, option A is the correct option.

Note: If a shape or the object has a line of symmetry then it is considered that the object or shape is symmetrical in nature. Nature uses symmetry to make things beautiful. Symmetry is often seen every day by people of all ages in nature. Symmetry that we see everyday in nature is most often Bilateral Symmetry. This means that the two halves of an object are exactly mirror images of each other.
Generally there is three type of Symmetry
Radial symmetry: The organism looks like a pie.
Bilateral symmetry: There is an axis; on both sides of the axis the organism looks roughly the same.
Spherical symmetry: If the organism is cut through its center, the resulting parts look the same.