Signs of heatstroke in pets include excessive panting, drooling, lethargy, vomiting, collapse, and seizures. To prevent it, ensure your pet has access to shade and water, avoid exercising them during the hottest parts of the day, never leave them in a parked car, and consider using cooling mats or vests. Additionally, trim their fur if it's long and avoid hot surfaces like asphalt during walks. If you suspect your pet has heatstroke, seek veterinary attention immediately.