similarity and congruence
Uh, sorry, dude, but you’ve messed
up. You’re saying that the arrow heads
are triangles with size 3, and size 4, and
size 2…well, they can’t be ALL of them!
Frank: I kinda followed what you did though…with the
ratios, and it all makes sense.
Jim: I don’t think so, it has to be wrong. There’s no way it can
be 2 and 4, or 2 and 3…not at the same time. You need to
take another look.
Joe: That or the drummer got it wrong. They’re not always
the brightest in the band.…
Frank: Could it be something to do with it being ratios rather
than sizes? Like, I’m twice as old as my sister, but I’m also half
as old as my dad.…
Joe: And you’re half as good-looking as me. What are you
going on about? Those are both twos…we’re worried about
Frank: Yeah, but my dad is four times as old as my kid
sister—so, you could say their ages were 4:1, even though my
dad and I are 2:1. They’re both true; it’s just relative.
Jim: Relative to what, though?
Frank: That’s the thing—maybe we just need to choose one
thing for our ratios to be relative to and then stick with it.
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