Question

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

Explanation:

To determine if a line is a line of symmetry, we check if folding the figure along that line makes the two halves match. A figure can have multiple lines of symmetry (so the first "No" option is wrong). The presence of a line of symmetry doesn't depend on going through a vertex (so the second "No" option is wrong) or just going through the center (the fourth option is wrong because going through the center isn't the definition of a line of symmetry). The third option correctly states that when the figure is folded along either red line, the halves match, so both are lines of symmetry.

Answer:

Yes, because the halves match when the figure is folded along either line.