Question

reese says that both red lines are lines of symmetry. is she correct? why or why not?
no, because the halves do not match when the figure is folded along either line.
yes, because both lines go through the center of the figure.
yes, because a figure can have two lines of symmetry.
no, because neither line goes through a vertex.

Explanation:

A line of symmetry divides a figure into two congruent halves. When folded along a line of symmetry, the two halves match exactly. In this case, when the figure is folded along either of the red lines, the halves do not match. Just because a line goes through the center (as in the second option) or a figure can have two lines of symmetry (as in the third option) does not mean these particular lines are lines of symmetry. Also, a line of symmetry does not need to go through a vertex (so the fourth option's reasoning is wrong). The key is the matching of the halves.

Answer:

No, because the halves do not match when the figure is folded along either line.