Question

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

Explanation:

A line of symmetry is a line that divides a figure into two congruent (matching) halves. When the figure is 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 match. The fact that a line goes through the center is not the sole criterion for it being a line of symmetry. A figure can have more than one line of symmetry (so the option about only one line is wrong). Whether a line goes through a vertex is also not the defining characteristic of a line of symmetry.

Answer:

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