Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: When Fausta helps Wonder Woman and Steve escape, they climb the rope out of the water. Steve's pants are obviously wet as he's climbing the rope. However, when he climbs over the side of the well, the camera angle changes and his pants are magically dry.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: After Wonder Woman is kidnapped, Steve commandeers a taxicab which has damage on its roof, but when Steve is driving the cab there's a black cloth taped to its roof covering the damage.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: When Diana chases after Horst she changes into Wonder Woman and her boots have heels, but when she lassos Horst the heels vanish and the boots are now flats.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: Wonder Woman reveals her belt gives her superhuman strength. In the scene where she is strapped to a board, the Nazi officer throws the belt and lasso at Wonder Woman, but she only catches the lasso. Wonder Woman still regains her strength though and breaks free of the straps. In the next shot however, she is holding both the lasso and the belt.
Answer: There is no logical reason. Any normal person would notice these type of absences. The show employs a "suspension of disbelief," which is a literary device where the movie audience or a book reader accepts that certain things are unreal for the sake of the story to be told. It is similar to no-one noticing that Clark Kent looks exactly like Superman because he wears glasses.
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