traction control,anti-lock braking light on during rain or wet road

Could you read the DTC codes, as the lights are on?

I would look for damaged, cracked or otherwise porous spots on the wires or plugs near the road (ABS wires, plugs).

Does it come immediately after you switch the car on in wet weather (without driving) too?
Then it could be something higher in the car

Mat

 

Yes get the code You may be having ABS issues Make sure that all the tires on the car are the same size and pumped up similarly in pressure like one's not 55 lb and the others are 40 or something of that nature 3 or 4 lb differences 7 lb may not affect you. But tire size can make those lights go crazy but it sounds like that's not what's happening It sounds like you may be headed for ABS troubles and or like the other poster said check all your wiring make sure something's not getting flooded extremely wet etc.

 

If you have no scan tool to read the trouble codes, just do this:

Blink (a/k/a Flash) Codes – How to. | PriusChat

 

I don't know if the torque app can read everything in the Prius I don't keep up with all the apps but the blink codes that Chapman is talking about is a no-fail You will get your codes that way You're getting them direct from the horse's mouth if you will with nothing needing decoding . Toyota has used the blink flash check engine light and what have you since I don't know man 1982 or so I used to do the same blink code business for nowhere near the same codes back in '82 on my celica and Hilux truck

 

Yeah, when those lights are on, there are codes, so any time somebody uses a tool or app that said "no codes", it's time to take that tool/app out of the picture and go blink the lights.