The two triangles below are similar. What is the similarity ratio of ΔABC to ΔDEF?
Triangle ABC is shown with AC measuring 8 and BC measuring 12. Triangle DEF is shown with side DF measuring 4.
3:1
1:3
2:1
1:2
I'm thinking the answer is but i am not 100% sure. Please someone help me. Thank you!
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OpenStudy (julyahx1):
ayee 563blackghost! my fav helper XD
OpenStudy (idkanything):
@563blackghost
OpenStudy (julyahx1):
@563blackghost
563blackghost (563blackghost):
Heyo :)
563blackghost (563blackghost):
Is there a picture to go with this? Or do we have to draw it out?
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OpenStudy (julyahx1):
563blackghost (563blackghost):
We first determine which sides are congruent to each other. Triangle DEF seems to be turned on its side so we would assume that `DF is congruent to AC` while as `EF is congruent to BC`. So we see that `DF is equal to 4` and `AC is equal to 8` How would we get from 4 to 8?
OpenStudy (julyahx1):
im not sure I'm pretty terrible at this stuff.. :/ is D wrong?
OpenStudy (julyahx1):
A was my second choice btw
563blackghost (563blackghost):
Well we are seeing the similarity from `ABC to DEF` so we would find out how 8 got to 4 instead of 4 to 8 (sorry barely realized that one). So we divide.
\(\huge\bf{\frac{8}{4}}\)
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OpenStudy (julyahx1):
so then 2:1?
563blackghost (563blackghost):
Correct :)
OpenStudy (julyahx1):
so C is the answer u sure?
563blackghost (563blackghost):
Pretty sure ;)
OpenStudy (julyahx1):
ok thanks so much
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