A circle or annulus. Each of its infinite number of diameters is an axis of symmetry. Plus there is the line through its centre and perpendicular to the plane of the circle.
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A circle is symmetric about ANY diameter. The number of possible diameters of the same circle is infinite. And on the same principle, a sphere will have lines of symmetry in every direction in 3 dimensions.
No it's not possible. The triangle with the most lines of symmetry is Isosceles triangle and that has 3 lines of symmetry. Unless you draw on the back, but that isn't correct.
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