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Mathematics 16 Online
OpenStudy (julyahx1):

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!

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?

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. \(\huge\bf{\frac{8}{4}}\)

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

563blackghost (563blackghost):

np :)

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