anonymous
  • anonymous
Look at the figure shown below.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_08/image0024e8ca51a.jpg
anonymous
  • anonymous
Which statement must be true to prove that segment DE is parallel to segment CA?
anonymous
  • anonymous
4 : EA = 1 : DC 2 : DC = 5 : EA 3 : EA = 2 : DC 1 : DC = 2 : EA

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anonymous
  • anonymous
@phi hopefully this will be the last question I need help with...
phi
  • phi
I can't see your image.
anonymous
  • anonymous
anonymous
  • anonymous
now can you?
phi
  • phi
if DE is || to CA then the sides of the triangle are transversals |dw:1359074409155:dw| if the lines are parallel then the marked angles are equal "corresponding angles" of a transversal if the angles are all the same, the top little triangle is similar to the big triangle. that means you want the sides to be in proportion
anonymous
  • anonymous
okay,but how do we make the sides proportionate?
anonymous
  • anonymous
@phi ?
phi
  • phi
for example you can say the legs of the little triangle on top are in the ratio of 16/24 or simply 2/3 the legs of the big triangle are in the same ratio BC/BA but that isn't in any of the choices also, the segments, DC/EA are in proportion \[ \frac{2}{3} = \frac{DC}{EA} \] that looks promising but it's not in the same form as your choices we can reorder things, by first cross multiplying 2*EA = 3*DC now divide by EA : 2= DC * 3/EA divide by DC 2/DC = 3/EA
phi
  • phi
you can write 2/DC = 3/EA this way 2: DC = 3:EA or 3 : EA = 2 :DC
anonymous
  • anonymous
okay! so it's C?
phi
  • phi
yes.
anonymous
  • anonymous
Oh my gosh @phi , I have no clue how, but you make it possible for me to understand math! Thanks sooooo much for ALL the help you've given me! :)
phi
  • phi
yw

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