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Circles and Ovals DO have lines of symmetry: a circle has an infinite number of them (each is a diameter of the circle) and an oval (ellipse) has two (one along the major axis, one along the minor axis).

Shapes which have no lines of symmetry are irregular ones, eg scalene triangles, along with most parallelograms (ie parallelograms which are not rhombuses) and non-isosceles trapezia.

Some irregular shapes can have lines of symmetry, eg irregular octagons can have 1, 2 or 4 lines of symmetry as well as no lines of symmetry, unlike a regular octagon which [always] has 8 lines of symmetry.

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Q: What shapes don't have lines of symmetry besides circles and ovals?
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