Burning Questions - Ferris Bueller's Day Off - Part 2

Midway through Ferris Bueller's Day Off, Ed Rooney, in the pursuit of Ferris, walks into a pizza parlor/arcade. His eyes light up as he spots (from behind) someone he assumes is Ferris; it instead turns out to be a comely young lady with a haircut similar to Ferris's, wearing the same jacket that we'd seen young Mr. Bueller wear through the course of the film.

But what really led Ed to believe that was Ferris? To that point, the only time in the film he had seen Ferris was when he showed up to school driving Cameron's father's Ferrari, disguised as George Peterson. How did Rooney know what Ferris was wearing?

I hear you, smarty pants. Right now, you're saying "Rooney really hated Ferris, and must have known that Ferris wore that jacket a lot."

Really? First of all, the principal of a 1000+ student high school knows the wardrobe of his students so well that he's going to mistake some female in a random leather jacket for one of his students? Now, I could buy all that if it wasn't for this: am I really supposed to believe that a teenager as dynamic and stylish as Ferris would wear the same jacket day in and day out, so much that his principal would recognize (practically) anyone else wearing said jacket as him?

I say bullsh*t to that.