Question

Which of the following dotted lines is a line of symmetry ?

A. L
B. M
C. N
D. None of these

Answer 1

Hint: Shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same. So one by one we will check each given line by using this concept.

Complete step-by-step answer:
The line of symmetry is the line which passes through the centre of the object or any shape. It is considered as the axis or imaginary line of the object. In geometry, we must have learned well about the term symmetry which is defined as a balanced and a proportionate similarity found in two halves of an object, that is, one-half is the mirror image of the other half.
Or we can say that the imaginary line or axis along which we can fold a figure to obtain the symmetrical halves is called the line of symmetry. It is also termed as the axis of symmetry. The line symmetry is also called a mirror line because it presents two reflections of an image that coincide. Therefore, it is also a type of reflection symmetry. It basically divides an object into two halves. There may be one or more lines of symmetry.
Given lines are L,M and N , if we consider the line L there is no symmetry or this line doesn't form mirror image similarly when we consider lines M and N both of them also not able to form mirror image .
Hence the correct answer is option D.

Note: The symmetry line can be defined as the axis or imaginary line that passes through the form or object's center and divides it into identical halves. Symmetry line, line symmetry, mirror symmetry, mirror image symmetry, mirrored symmetry. That is, a figure that does not change after a reflection has a symmetry of reflection. In 2D there is a symmetry line / axis, in 3D a symmetry plane.