Isosceles triangle, kite.
-improvement: an isosceles triangle actually has three lines of symmetry, equal to the number of sides.
It is easy to design irregular polygons with an odd number of sides that have just one line of symmetry.
A parabola.
Many more functions that are more complex - cardioid, for example.
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A shape does NOT need to have line symmetry in order to have rotational symmetry.For example, the letters N, Z and S can be rotated 180° to show symmetry, but none of these show line symmetry.When the folded part Line of Symmetry. Here I have folded a rectangle one way, and it didn't work.
You cannot have one parallel line. There must be another line that it is parallel to. Also, 1 symmetry is meaningless - you can have one axis of symmetry or rotational symmetry of order one. The answer will depend on which one it is.
An isosceles triangle has one line of symmetry, which is drawn from the noncongruent side to the opposite vertex, and does not have a rotation symmetry.
A rectangle is a possible candidate, as is an ellipse.
An isosceles triangle has one line of symmetry