
Given the line of symmetry, find the other hole(s):
Answer
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Hint: In the above problem, the line of symmetry works as a mirror and the hole given in the question will be treated as an object so the other holes that could be possible are the reflections of the given hole with the line of symmetry as a mirror.
Complete step-by-step answer:
The figure given in the question contains a line of symmetry which is represented by a dotted line and a hole which is represented by “black dot”.
In the question, we have asked to punch the other holes that could be possible. Now, other holes that could be possible are the reflection of the given hole in the line of symmetry. The line of symmetry is treated as a mirror and the hole is treated as an object.
In the below figure, we have punched the hole other than the given hole. Only one hole is possible because the reflection of the given hole in the line of symmetry is only one.
As we can see from the above figure that the second hole other than the given hole is punched at the same distance from the line of symmetry as that of the given hole because the second hole is a reflection of the first hole with the line of symmetry as a mirror and reflection of any object is at the same distance from the mirror as that of the object but situated on the other side of the mirror.
Note: Only one hole is possible other than the given hole because the reflection of the second hole with the line of symmetry as a mirror will overlap with the first hole so finally we are left with only 2 holes in the figure which is shown below.
Complete step-by-step answer:
The figure given in the question contains a line of symmetry which is represented by a dotted line and a hole which is represented by “black dot”.
In the question, we have asked to punch the other holes that could be possible. Now, other holes that could be possible are the reflection of the given hole in the line of symmetry. The line of symmetry is treated as a mirror and the hole is treated as an object.
In the below figure, we have punched the hole other than the given hole. Only one hole is possible because the reflection of the given hole in the line of symmetry is only one.
As we can see from the above figure that the second hole other than the given hole is punched at the same distance from the line of symmetry as that of the given hole because the second hole is a reflection of the first hole with the line of symmetry as a mirror and reflection of any object is at the same distance from the mirror as that of the object but situated on the other side of the mirror.
Note: Only one hole is possible other than the given hole because the reflection of the second hole with the line of symmetry as a mirror will overlap with the first hole so finally we are left with only 2 holes in the figure which is shown below.
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