NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - Fill in the Blanks
Question 24

Question. 24

The image of a point lying on a line \(l\) with respect to the line of symmetry \(l\) lies on _____.

Answer:

l.

Detailed Answer with Explanation:

What is a line of symmetry?
A line of symmetry acts like a mirror. If you fold the figure on this line, both sides match.
Our line is named ( l ).
This same line ( l ) is also the “mirror.”
Take a point that lies on the mirror itself.
Let that point be ( P ) and it lies on ( l ).
Reflect the point across the mirror line.
The image of ( P ) is written as ( P' ).
Key property of reflection on the mirror line:

Every point on the mirror line maps to itself.

So,

[ P' = P ]
Therefore:
Since ( P ) is on ( l ) and ( P' = P ), the image ( P' ) is also on the same line ( l ).

Conclusion: The image lies on the same line ( l ).

Quick check: If a point is on the mirror, its distance to the mirror is

[ 0 ]

After reflection, the distance stays

[ 0 ]

So it remains exactly on the mirror line ( l ).