Question

1. is this a line of symmetry for this parallelogram? why or why not?

options:
yes. when the parallelogram is folded along this line the sides do not match up exactly.
no, because it goes through the middle of the figure.
yes, because it goes through the middle of the figure.
no. when the parallelogram is folded along this line the sides do not match up exactly.

Explanation:

A line of symmetry requires a figure to match exactly when folded along it. A general parallelogram (not a rectangle/rhombus) has no lines of symmetry. Folding along the given dashed line does not make sides match.

Answer:

No. When the parallelogram is folded along this line the sides do not match up exactly.