An oval, or ellipse, has two lines of symmetry. One line runs horizontally through the center, dividing the oval into two equal halves, and the other runs vertically through the center, also bisecting the shape into symmetrical halves. These lines reflect the oval's balanced shape, ensuring that one side mirrors the other across each line. Unlike a circle, which has infinite lines of symmetry, an oval is limited to these two.
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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.
A watermelon typically has no lines of symmetry, as its irregular shape does not allow for any straight line to divide it into two equal halves. However, if the watermelon were perfectly spherical, it would have an infinite number of lines of symmetry passing through its center in all directions.
If you canfold something in half and the two sides are identical then the fold is a line of symmetry. A circle has an infinite lines of symmetry because you can fold it in infinite places and it will always be the same. An oval has two - you can fold it the long way or the short way.