Question

which diagram represents a line of symmetry of the regular octagon?

Explanation:

Step1: Recall the property of a regular octagon's line of symmetry

A line of symmetry of a regular octagon divides it into two congruent parts. For a regular octagon, lines of symmetry can pass through opposite vertices or the mid - points of opposite sides.

Step2: Analyze each diagram

• In a regular octagon, a line passing through opposite vertices is a line of symmetry.
• The last diagram shows a line passing through two opposite vertices of the octagon.

Answer:

The last diagram (the one with the dashed line passing through two opposite vertices) represents a line of symmetry of the regular octagon.