Triangle similarity help! http://gyazo.com/3063ca99bfa1b6d5a690044443f762f6

Question

anonymous · Answer

@IMStuck  I'm sorry, can you help again? There's so much of this I don't know.

imstuck · Answer

I'm here!  Let me look at it!

anonymous · Answer

Do you mind if I call on you when people don't reply? Cause there've been times I've waited for hours. ;;

imstuck · Answer

I do not mind at all!  Did I mention that I teach math in high school?  Anyways...

imstuck · Answer

Using the numbers you have, let's set up the congruency statement and see if it is true.$$\frac{ 24 }{ 8 }\approx \frac{ 18 }{ 6 }$$We will do the cross multiplication now and see if they come out equal.  24(6) = 144 and 18(8) = 144.  So yes, they are similar.  Side-Splitter Theorem.

anonymous · Answer

No you didn't, so thank you again for your help. And thank you!

anonymous · Answer

I can't pinpoint which of my answers this would be.

imstuck · Answer

Ok, I'm back!

anonymous · Answer

Thank you!!

imstuck · Answer

Sorry!  It's OMN~OJK; SSS.  That's because when you tested the sides and the triangles tested congruent, it was because the sides were congruent.  You have to use that one because you used only sides for comparison, not angles like specified in the first and thrid choices.  It's the middle one there (not counting the choice of "The triangles are not congruent").  Better?

anonymous · Answer

Ah! Thank you! Yep.