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Mathematics 16 Online
OpenStudy (anonymous):

geometry question?

OpenStudy (anonymous):

OpenStudy (anonymous):

Both?

OpenStudy (anonymous):

yes please!

OpenStudy (anonymous):

The first one is not similar because the sides are not in proportion. 3 can correspond to the 6 (x2) but if you apply the same thing to the 2 (2x2=4), you don't get 5. So they're not similar

OpenStudy (anonymous):

alright that makes sense

OpenStudy (anonymous):

For the 2nd one, 10+5=15 and 14+7=21. 10 and 14 (sides of the other triangle) relate to 15 and 21 because 10/14=15/21. You know this cuz you can simplify them both to 5/7

OpenStudy (anonymous):

okay i get that but how do you know what they are similar by? is it sss?

OpenStudy (anonymous):

Oh. The similarity theorem is always by AA. SSS is if the numbers for the triangles are the same because it proves that the triangles are congruent.

OpenStudy (anonymous):

always? let me show you this other problem... would it be AA for it to?

OpenStudy (anonymous):

OpenStudy (anonymous):

|dw:1341959357505:dw| That would be by SAS

OpenStudy (anonymous):

As for your problem, it would be AA because you see that 2 angles are already congruent and you know that there's another set of congruent angles by (Vertical angles are congruent)

OpenStudy (anonymous):

GIH and JIK are the vertical angles, btw

OpenStudy (anonymous):

okay thank you!

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