Answer:
the orange parallelogram has no line of symmetry
Explanation:
A figure has a line of symmetry if the half of the figure on one side of the line can be reflected over the line to be coincident with the other half of the figure. That is, the figure on one side is the mirror image of the figure on the other side.
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Consider the figures:
purple
A vertical line through the center is the line of symmetry.
red
A vertical line through the center is one line of symmetry. Another line of symmetry is the horizontal line through the center.
green
A horizontal line through the center is the line of symmetry.
orange
There is no line of symmetry. The figure is symmetrical about its center, but is not symmetrical about any line.