MANTIDS (Family Mantidae)
Attempted IDs
Sex: For adult praying mantises, seen from below, females have 6 abdominal segments and males have 8. Where the last few segments of the male's are narrower, the female's last segment is much larger.
ID: According to bugguide, both the Chinese Mantis (Tenodera sinensis) and the Japanese Narrow-winged Mantis (T. angustipennis) have white edges on the outside edges of the tegmina (wings). T. sinensis has a yellow spot on its chest between its forelegs and T. angustipennis has an orange spot. There's also a size difference according to Wikipedia - the Chinese is a bit larger where the Narrow-winged is a little shorter and more slender overall.
The most definitive way to tell them apart, however, is by their hindwings.
T. sinensis has a darker, more mottled hindwing: http://bugguide.net/node/view/576038/bgimage
T. angustipennis in comparison is fairly clear where T. sinensis is darker: http://bugguide.net/node/view/576034/bgimage
Examples of variety in Mantid ootheca: http://bugguide.net/node/view/342391
A more detailed description of T. angustipennis here: http://en.wikipedia.org/wiki/Narrow-winged_mantid