<Two friends arguing>
Ram: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.
Shyam: If you can find a line in the figure which divides it into two identical parts, then the figure is always symmetric.
<Two friends arguing>
Ram: If a figure can be folded along any line such that one half superimposes the other, it is known as a symmetric figure.
Shyam: If you can find a line in the figure which divides it into two identical parts, then the figure is always symmetric.
The correct option is C Ram is right; Shyam is wrong.
If a figure can be folded along any line such that one half superimposes or aligns exactly with the other, it is known as a symmetric figure. For e.g. If you take a square and fold it along the line shown, part 1 exactly overlaps part 2. So, square is a symmetric figure.
On the other hand, in a parallelogram, the diagonal divides it into two congruent triangles, i.e. into two equal parts. But those parts don’t superimpose each other when folded along the diagonal (as shown in the figure). So, parallelogram is not a symmetric figure.
Hence, Arjun is right and Shubh is wrong.
If a figure can be folded along any line such that one half superimposes or aligns exactly with the other, it is known as a symmetric figure. For e.g. If you take a square and fold it along the line shown, part 1 exactly overlaps part 2. So, square is a symmetric figure.
On the other hand, in a parallelogram, the diagonal divides it into two congruent triangles, i.e. into two equal parts. But those parts don’t superimpose each other when folded along the diagonal (as shown in the figure). So, parallelogram is not a symmetric figure.
Hence, Arjun is right and Shubh is wrong.
