what family or species is this a part of?
Mantidae ("mantids")
Mantis
Mantises are an order (Mantodea) of insects that contains over 2,400 species in about 430 genera in 15 families. The largest family is the Mantidae ("mantids"). 
what is the predator of a praying mantis Mantises are generalist predators of arthropods
wiki:56981
Mantis [SEP] Introduction
Mantises are an order (Mantodea) of insects that contains over 2,400 species in about 430 genera in 15 families. The largest family is the Mantidae ("mantids"). Mantises are distributed worldwide in temperate and tropical habitats. They have triangular heads with bulging eyes supported on flexible necks. Their elongated bodies may or may not have wings, but all Mantodea have forelegs that are greatly enlarged and adapted for catching and gripping prey; their upright posture, while remaining stationary with forearms folded, has led to the common name praying mantis. The closest relatives of mantises are the termites and cockroaches (Blattodea), which are all within the superorder Dictyoptera.