one line of symmetry means that a figure is identical in shape and detail as the other side when you split it in halve. Like a heart. If you cut it in halve, it should be identical on the other side as long as it is a blank heart.
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A cardioid has 1 line of symmetry.
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An isosceles triangle has one line of symmetry
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.