Hello! I need help on one geometry question regarding proofs.

Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown (will post picture)

She starts with the assumption that segment DE is parallel to segment BC.

Which inequality will she use to contradict the assumption?

6:7 ≠ 2:7
6:8 ≠ 7:10
6:2 ≠ 7:10
6:2 ≠ 3:2

Thank you so much!

Question

Hello! I need help on one geometry question regarding proofs. 

Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown (will post picture)


She starts with the assumption that segment DE is parallel to segment BC.

Which inequality will she use to contradict the assumption?


 6:7 ≠ 2:7
 6:8 ≠ 7:10
 6:2 ≠ 7:10
 6:2 ≠ 3:2

Thank you so much!

anonymous · Answer

attachment

anonymous · Answer

@doglover789 Can you help?

gorv · Answer

if the ratio of two side is equal in both triangle than they will be similar hence parallel

gorv · Answer

$$\frac{ AD }{ AB }=\frac{ AE }{ AC }$$
if this is true than they are parallel else not

gorv · Answer

where AD AB AE and AC are the length of the triangle

anonymous · Answer

I guess that makes sense, but not really. Im really bad at math so none of this really makes any sense to me.

anonymous · Answer

I mean I think the answer is D: 6:2 ≠ 3:2 but im not sure

gorv · Answer

AD=???

anonymous · Answer

@gorv could you tell me if my answer is correct? If not could you please explain it again so I can find the answer

anonymous · Answer

oh sorry I didn't see your reply

gorv · Answer

its wrong

gorv · Answer

what is the length of AD??

anonymous · Answer

Oh waittttt is it  6:8 ≠ 7:10? Because then its the AD=6 / AB=8 : AE=7 / AC= 10

gorv · Answer

yes my dear you are right :)

anonymous · Answer

Thank you so much!!! I really do appreciate this!!! :)

gorv · Answer

u r welcome :)