Determine whether the triangles are similar, if they are identify postulate or theorem that proves them similar

Question

anonymous · Answer

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anonymous · Answer

I know the first one is similar and I think the 2nd one is. I kind of have an idea about what the theorem would be but I'm not sure

anonymous · Answer

@nincompoop could you help?

jim_thompson5910 · Answer

here is a page with all the theorems you'll need http://www.mathwarehouse.com/geometry/similar/triangles/similar-triangle-theorems.php

anonymous · Answer

@jim_thompson5910 thank you!! So would the first one be SSS......?

jim_thompson5910 · Answer

re-read the 3 theorems again

anonymous · Answer

Oh wait, SAS?

jim_thompson5910 · Answer

yep

jim_thompson5910 · Answer

you have 2 sides, and an included angle (in between)

jim_thompson5910 · Answer

it's like the SAS congruence theorem, but for similar triangles

anonymous · Answer

Thank you! :) for the 2nd one, would it be not possible, that's one of my answer options and after reading the theorems it doesn't really fit with any of them

jim_thompson5910 · Answer

look at the markings on the two opposite sides

jim_thompson5910 · Answer

what do those red arrows mean?

anonymous · Answer

I'm not really sure, does it have something to do with their similarity since they're basically at the same place just on different sides? haha that made no sense but yeah.

jim_thompson5910 · Answer

those two red arrows tell us those two lines are parallel

jim_thompson5910 · Answer

what can you take away from that

anonymous · Answer

That's what I meant! So would it be AA? @jim_thompson5910

jim_thompson5910 · Answer

hopefully you see why it's AA