Explanation (Very Beginner Friendly)
Correct Option: A (0)
Key Idea
A line of symmetry is a line that splits a shape into two exact mirror halves.
If you fold the shape along this line, both parts match perfectly.
Understand the Object
- A compass (used for drawing circles) has two legs.
- One leg holds a pencil.
- The other leg has a metal point (needle).
- So, the two sides are not the same.
Step-by-Step Check for Symmetry
- Try a vertical line through the middle.
Left side (pencil) ≠ Right side (needle). They don’t match.
⇒ No vertical line of symmetry.
- Try a horizontal line through the middle.
Top part ≠ Bottom part (shape and parts are different).
⇒ No horizontal line of symmetry.
- Try a slanted line (any angle).
Because the legs and their ends (pencil vs needle) are different, folding along any slanted line also won’t match.
⇒ No slanted line of symmetry.
Why Options B, C, D are Wrong
- 1 line (B): would need both sides to be the same across that line — they are not.
- 2 lines (C): needs even more sameness — not possible here.
- 3 lines (D): only very regular shapes (like an equilateral triangle has 3) have this — a compass is not one.
Conclusion
Since the two legs are dissimilar (pencil vs needle), the compass has no line of symmetry.
Common Mistake
Do not confuse the compass with a V-shape having equal sides. Even if the angle looks similar,
the ends are different, so it is not symmetric.