Question

Can a parallelogram have more than 3 lines of symmetry?

Answer 1

Technical answer no

BUT

if you are in a college/postgraduate level group theory class yes

Explanation:

Imagine a square, and imagine 4 lines across the top, the side, and the two diagonal ones. Because the two diagonal lines of symmetry are technically the same, there are only three possible lines.

if you are in the group theory class, comment and ill give a lengthy answer on that.

Answer 2

no

Explanation:

Parallelograms have zero lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.