I'm not normally drawn to symmetrical shapes. I like wonky and distorted shapes because they are unpredictable and make my eye move around a piece of work.
However, symmetrical designs are often soothing to me. One of my new projects will feature a tree and I sketched the bare bones of it today. Tomorrow I'll look at it again.
The picture on the left is a scanned freehand sketch where each shape is different. The picture on the right is smaller and has one half of the sketch mirrored (and, to my eye, slightly distorted).
In the interests of gathering outside opinions, I welcome comments about which one appeals most to YOUR eye and why. If both sketches look the same to you, I'd be interested to know that too!