Question

which of the lines shown is a line of symmetry?
line a
line b
line c
all of these

Explanation:

A line of symmetry divides a figure into two mirror - image halves. For a regular pentagon (the figure shown), lines of symmetry pass through a vertex and the mid - point of the opposite side (like line \(a\) which is a horizontal dashed line passing through the mid - points of two opposite sides and a vertex? Wait, actually, in a regular pentagon, each line of symmetry either passes through a vertex and the mid - point of the opposite side or connects two non - adjacent vertices? Wait, no, for a regular pentagon, the lines of symmetry are those that pass through a vertex and the mid - point of the opposite side. Looking at the diagram, line \(a\) (the horizontal dashed line) should be a line of symmetry as it divides the pentagon into two congruent and mirror - image parts. Lines \(b\) and \(c\) (the dashed lines from vertices) also seem to be lines of symmetry? Wait, no, maybe the correct answer is "All of these" because in a regular pentagon, all those lines (passing through a vertex and the mid - point of the opposite side or connecting vertices? Wait, no, a regular pentagon has 5 lines of symmetry, each passing through a vertex and the mid - point of the opposite side. So if the three lines shown (line \(a\), line \(b\), line \(c\)) are all such lines, then "All of these" is correct.

Answer:

All of these