| 1a | a. Antennae shorter than head, inserted beneath eyes, not plainly visible from above | 2 | 
    
      | also: Aquatic or semiaquatic, at margins of lotic or lentic habitats | 
    
      | 1b | a. Antennae longer than head, inserted forward of eyes, plainly visible from above | 7 | 
    
      | also: Semiaquatic, on surface (nektonic) or at aquatic margins | 
    
      |  | 
    
      | 2a(1a) | a. Beak triangular, very short, unsegmented but often transversely striated, appearing as apex of head | Corixidae | 
    
      | b. Front tarsus with a single segment, scooplike, fringed with stiff setae forming a rake | 
    
      | 2b | a. Beak cylindrical, short to long, with 3 or 4 segments | 3 | 
    
      | b. Front tarsus not scooplike or fringed with stiff setae | 
    
      |  | 
    
      | 3a(2b) | Apex of abdomen with a pair of flat, retractile air straps with pubescence on the surface | Belostomatidae | 
    
      | 3b | Apex of abdomen terminating in a long, single cylindrical siphon composed of 2 slender, nonrectractile filaments | Nepidae | 
    
      | 3c | Apex of abdomen without respiratory appendages | 4 | 
    
      |  | 
    
      | 4a(3c) | a. Middle and hind legs without fringe-like swimming hairs | Gelastocoridae, Gelastocoris oculatus (Fabricius) | 
    
      | b. Ocelli present | 
    
      | also: Front legs raptorial (grasping), femora broad; rostrum short, not reaching the hind coxae; antennae not visible from above; toad-like in appearance | 
    
      | 4b | a. Middle and hind legs with fringe-like swimming hairs | 5 | 
    
      | b. Ocelli absent | 
    
      | also: aquatic; not toad-like in appearance | 
    
      |  | 
    
      | 5a(4a) | a. Front legs raptorial, femora broad | Naucoridae, Pelocoris femoratus (Palisot de Beauvois) | 
    
      | b. Body dorsoventrally flattened | 
    
      | 5b | a. Front legs slender, femora not broad | 6 | 
    
      | b. Body strongly convex dorsally | 
    
      |  | 
    
      | 6a(4b) | a. Body form ovoid, very small (length < 3mm) | Pleidae, Neoplea striola (Fieber) | 
    
      | b. All legs similar | 
    
      | c. Hind tarsus with 2 well-developed claws | 
    
      | 6b | a. Body form elongate, length 5 mm or more | Notonectidae | 
    
      | b. Hind legs long, oarlike | 
    
      | c. Claws of hind tarsus inconspicuous | 
    
      |  | 
    
      | 7a(1b) | a. Membrane of wing with 4 or 5 distinct similar cells | Saldidae | 
    
      | b. Hind coxae large, transverse, with broad coxal cavity | 
    
      | 7b | a. Membrane of wing without distinct similar cells | 8 | 
    
      | b. Hind coxae small, cylindrical, or conical, with coxal cavity socketlike | 
    
      |  | 
    
      | 8a(7b) | Claws of at least front tarsus inserted before apex of leg | 9 | 
    
      | 8b | Claws of all legs inserted at tips of tarsus | 10 | 
    
      |  | 
    
      | 9a(8a) | a. Hind femur short, distally either scarcely or not surpassing apex of abdomen | Veliidae | 
    
      | b. Metasternum with a pair of lateral scent grooves terminating on pleura in front of hind coxae | 
    
      | c. Dorsum of head usually with a medial longitudinal sulcus or glabrous (smooth) stripe | 
    
      | d. Middle legs inserted about midway between front and hind legs (except Rhagovelia, which has a feathery-like structure on the middle tarsus) | 
    
      | 9b | a. Hind femur long, distally greatly exceeding apex of abdomen (except scarcely exceeding apex in Rheumatobates females) | Gerridae | 
    
      | b. Metasternal region with a single median scent gland opening (omphalium) | 
    
      | c. Dorsum of head without a median groove or line (except in Rheumatobates) | 
    
      | d. Middle legs inserted closer to hind legs than fore legs | 
    
      |  | 
    
      | 10a(8b) | a. Body long, slender, stick-like | Hydrometridae, Hydrometra martini Kirkaldy | 
    
      | b. Head as long as, or longer, than combined length of pronotum and scutellum | 
    
      | 10b | a. Body stout, not stick-like | 11 | 
    
      | b. Head not greater than combined length of pronotum and scutellum, or pronotum alone in wingless form | 
    
      |  | 
    
      | 11a(10b) | a. Tarsi 2-segmented | Hebridae | 
    
      | b. Head ventrally with a deep, longitudinal channel for reception of rostrum | 
    
      | 11b | a. Tarsi 3-segmented | Mesoveliidae | 
    
      | b. Head ventrally without a longitudinal channel | 
    
      | also: Inner margins of eyes converging anteriorly; femora with at least 1 or 2 black spines on dorsum distally; winged forms with exposed bilobed scutellum |