Trace the edges

On which of these shapes can you trace a path along all of its edges, without going over any edge twice?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Here are five poyhedra:

Image
Trace the Edges
Image
Trace the Edges
Image
Trace the Edges
Image
Trace the Edges
Image
Trace the Edges

You can trace a path along all of the edges, without going over any edge twice, on only one of these shapes.

Which shape is it and how do you do it?