Question

choose all the lines of symmetry for the pentagon.

Explanation:

Step1: Recall the definition of line of symmetry

A line of symmetry is a line that divides a figure into two congruent (mirror - image) parts.

Step2: Analyze the regular pentagon

For a regular pentagon, there are 5 lines of symmetry. In the given options, the vertical line (passing through a vertex and the mid - point of the opposite side) and the two diagonal lines (connecting a vertex to the mid - point of the non - adjacent side) are valid lines of symmetry. The other lines in the options do not divide the pentagon into two congruent parts.

Answer:

The lines of symmetry are the vertical line (top - bottom) and the two diagonal lines that connect a vertex to the mid - point of the opposite side.