As Lady Cat
When he is a hero he is very agile and can jump high. The special skill is "enchantment", thanks to which he can momentarily control the body of the beholder.
As Fire Girl
When she is Fire Girl she can create flames and fires from nowhere and control the fire. She can also create fire figures or call her "illusions of the underworld". It can also protect people and things from fire and / or heat. But if by chance he is wet or his fire escapes her control.