Dogs have no lines of symmetry. They're never completely equal on both sides. No creatures are.
However, in terms of Biology, dogs, like all vertebrates, have bilateral symmetry. This means they have symmetry across one plane (known as the sagittal plane, and directly down the centre of their body), which means one side of their body approximately mirrors the other side. Thus, they have a single line of symmetry.
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4 Lines of symmetry
2 lines OF SYMMETRY
There is no such thing as 8 lines of symmetry. A circle, for example, has infinitely many lines of symmetry.
a cylinder has 29 lines of symmetry!
5 lines is symmetry