Comets are about the same size as the smaller asteroids. The Leonid meteors in November appear to come from the direction of this constellation. The Leonid meteors are caused by debris from comet Tempel-Tuttle. The Perseid meteors are caused by debris from comet Swift-Tuttle. The Perseid meteors in August appear to come from the direction of this constellation.
All meteor showers have their own radiant.
For example, the radiant of the Leonid meteor shower is in the constellation Leo. That doesn't mean that all Leonid meteors appear in Leo. They can be seen anywhere in the sky, but if you trace them backwards to their origin, they all lead to Leo the Lion. Debris from this comet forms a meteoroid stream that causes the annual Perseid meteor shower. Debris from this comet forms a meteoroid stream that causes the annual Leonid meteor shower.