A parallelogram has ______ lines of symmetry:a)0b)1c)2d)3Correct answe...
Answer- 0 a because parallelogram is not equal side and it is not used for symmetry
A parallelogram has ______ lines of symmetry:a)0b)1c)2d)3Correct answe...
A parallelogram has 0 lines of symmetry.
Explanation:
A line of symmetry is a line that divides a shape into two identical halves. In other words, if you were to fold the shape along the line of symmetry, both halves would match perfectly.
To determine the number of lines of symmetry in a parallelogram, let's first understand the properties of a parallelogram.
Properties of a Parallelogram:
1. Opposite sides are parallel.
2. Opposite sides are equal in length.
3. Opposite angles are equal in measure.
4. Adjacent angles are supplementary (add up to 180 degrees).
Analysis:
A parallelogram does not have any lines of symmetry. This is because folding a parallelogram along any line will not result in both halves being identical.
Consider the following illustration of a parallelogram:
```
A --------------- B
/ \
/ \
D ------------------- C
```
If we were to fold the parallelogram along the line segment AB, the points A and B would overlap, but the points C and D would not align. Therefore, the halves would not be identical.
Similarly, folding the parallelogram along any other line, such as CD or AC, would not result in identical halves.
Conclusion:
Since a parallelogram cannot be folded along any line to create identical halves, it has 0 lines of symmetry. Therefore, the correct answer is option 'A' - 0.
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