An ISOSCELES TRiangle.
The line of symmetry is from the angle of the two equal adjacent sides, to the mid-point of the NON-equal side.
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There are infinitely many such shapes:Take any odd-sided regular polygonMove one vertex away from the side opposite it in a perpendicular direction any distance you like.The resulting shape has one line of symmetry (from the vertex moved to the centre of the opposite side) and no rotational symmetry.Done to an equilateral triangle (a regular "3-agon") this creates an isosceles triangle.
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A circle, square, oval, hemisphere, Equilateral triangle, Isosceles Triangle
a scalene triangle has no lines of symmetry
An EQUILATERAL Triangle. Two lines of symmetry is ISOSCELES Triangle No lines of symmetyry is SCALENE Triangle.