multiple transformations of polygons

half-turns
in vertices
half-turns
in side midpoints
reflections
in sides
triangle
triangle vertex halfturn
triangle midpoint halfturn
triangle side reflection
trapezoid
trapezoid vertex halfturn
trapezoid midpoint halfturn
trapezoid side reflection
regular
pentagon/
pentagram
pentagon vertex halfturn
pentagon midpoint halfturn
pentagram side reflection