Question

Given the line of symmetry, find the other hole(s):

Answer 1

Hint: In the above problem, the line of symmetry works as a mirror and the holes given in the question will be treated as objects so the other holes that could be possible are the reflections of the given two holes with the line of symmetry as a mirror.

Complete step-by-step answer:
The below figure contains a line of symmetry which is represented by a dotted line and the two holes are named as A and B which are represented by black dots.

In the above problem, a line of symmetry and the two holes are given and we are asked to punch the other holes that could be possible. Now, other holes that could be possible are the reflections of the two given holes in the line of symmetry. The line of symmetry is treated as a mirror and the holes are considered as objects.
In the below figure, we have punched two holes other than the two given holes. As we have discussed above that the possible holes would be the reflections of the given holes.

As we can see from the above figure, A’ is the reflection of hole A and B’ is the reflection of the hole B in the line of symmetry (which is treated as a mirror).
Hence, there are two holes A’ and B’ are possible other than the given holes A and B.
Note: There are only two holes are possible (i.e. A’ and B’) other than the two given holes (A and B) because the reflection of the hole A’ will again give hole A and the reflection of hole B’ will again give hole B.