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Mathematics 7 Online
OpenStudy (anonymous):

http://usatestprep.com/modules/gallery/files/96/9641/9641.png Which triangles are similar? A) ΔABE ∼ ΔACD B) ΔABE ∼ ΔADC C) ΔABE ∼ ΔCBE D) ΔABE ∼ ΔECD

OpenStudy (sydthekid913):

I believe it is C

OpenStudy (anonymous):

how is it C? they dont even have the same shape

OpenStudy (sydthekid913):

O whops I didnt c the site XD

OpenStudy (sydthekid913):

Hang on one sec

OpenStudy (ageta):

it is A

OpenStudy (ageta):

it cant be C

OpenStudy (anonymous):

what about B? its the same. could it possibly be D?

OpenStudy (sydthekid913):

It is A

OpenStudy (ageta):

it is the same but it doesn't go the same side as ABE

OpenStudy (ageta):

so the answer is A

OpenStudy (sydthekid913):

Similar: same shape different size therefore, A

jimthompson5910 (jim_thompson5910):

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OpenStudy (anonymous):

i just checked B and D both have 65degrees as their angles so it might be B

jimthompson5910 (jim_thompson5910):

notice how angle ABE = angle ADC since they are both 65 degrees

OpenStudy (ageta):

no it cant be B

jimthompson5910 (jim_thompson5910):

also, notice how angle BAE = angle DAC since they are a shared angle (they overlap)

jimthompson5910 (jim_thompson5910):

so triangle ABE is similar to triangle ADC the order of the letters is important because the corresponding angles must match up

OpenStudy (sydthekid913):

It cannot be D since they ha have different shape

OpenStudy (sydthekid913):

And the side lengths are different

jimthompson5910 (jim_thompson5910):

|dw:1417307661934:dw|

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