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
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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
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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
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OpenStudy (sydthekid913):
Similar: same shape different size therefore, A
jimthompson5910 (jim_thompson5910):
|dw:1417307497773:dw|
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
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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|