The comparison scores every group at once. This page is for the moment you already have a pair of names in mind — mayfly or stonefly, scud or sowbug, shad or alewife — and want the structures that keep them apart, in one look. Nothing here is a current hatch.
The differences, and nothing else
Best separating check: Leaf-like caudal lamellae (damselfly nymph)Close look It separates Damselfly / Dragonfly from Mayfly cleanly, and every pair of groups still in play differs on it (look closely with it still).
What to look at
Damselfly / Dragonfly
Mayfly
Grasping labium / mask (Odonata nymph)decisiveIn hand
Rows come from the reviewed diagnostic weights the comparison scores with. “Decisive” means one answer puts them at least four points apart — the carrier's own rule for a structure that separates a pair.
The two entries, side by side
Odonata
Damselfly / Dragonfly
The mask is the tell. The 'tails' on a damsel nymph are gills.
First check
Look at the mouth. If you can see a grasping mask, you are in Odonata.
What it is
Odonata nymphs are predators. The extendable labium — the mask — is the strongest field separator from mayfly and stonefly.
Stages
Nymph (6–68 mm; usually 13–68 mm) · Adult (body 25–89 mm; damselflies to about 64 mm)
Water
river, stream, lake-margin, spring
Separates from Mayfly
Mayfly cerci are round filaments; damsel lamellae are leaf-like gills. The labium mask settles Odonata.
Count the tails, then look for gills along the sides of the abdomen. Three tails plus side gills is about as close to a clean mayfly call as field observation gets.
What it is
Mayflies are the only insects that grow a full set of working wings and then moult again. The winged insect that leaves the water is not the finished animal — it is a dun, a subimago, cloudy-winged and dull-bodied. Within hours to a couple of days it sheds one more time into a spinner: clear-winged, smooth and shiny, built only to mate and die. Two winged forms of the same animal, hours apart, sitting on the same water.
Stages
Nymph (2–32 mm) · Dun (subimago) (Under 4 to 40 mm body; most families 4–20 mm) · Spinner (imago) (Under 4 to 40 mm body; most families 4–20 mm)
Water
river, stream, lake-margin
Separates from Damselfly / Dragonfly
A grasping labium / mask, or leaf-like caudal lamellae, is Odonata. Mayfly cerci are round filaments, not gill plates.