I am almost positive that I've digitized the polygons and that I have seen each segment shown as I dropped in vertices during the sketch. I figure that I inadvertently configured something and now I can't get it back.
Once I finish the sketch (by double-click or F2), the polygon redraws and displays as expected. The symbol has an outline and there is only one feature template.
Here's the polygon, mid-sketch:
I'm expecting lines for the first 2 segments, but not getting them.
Here's the polygon after I've finished the sketch:
Here is my configuration while digitizing the polygon:
And this is the construction tool I'm using: