In the figure below, ΔABC ≅ ΔDEF. Point C is the point of intersection between segment AG and segment BF, while point E is the point of intersection between segment DG and segment BF.
Prove ΔABC ~ ΔGEC.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@AlexandervonHumboldt2
OpenStudy (anonymous):
@ganeshie8 help please
OpenStudy (anonymous):
@inkyvoyd
OpenStudy (anonymous):
@Jaynator495
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OpenStudy (anonymous):
can you help me
OpenStudy (anonymous):
:(**
OpenStudy (anonymous):
is this right
ABC is congruent to DEF because it is given
angle C = angle C because of vertical angles
angle E = angle E because of vertical angles
angle G = angles A and D because of 3rd angle theorem
triangle ABC ~ triangle GEC because of congruent angles
OpenStudy (anonymous):
so i did it right
OpenStudy (anonymous):
can you help me with one question?
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OpenStudy (anonymous):
its another proof
OpenStudy (anonymous):
Look at the figure:
Make a two-column proof showing statements and reasons to prove that triangle DEF is similar to triangle DGE.
OpenStudy (anonymous):
OpenStudy (anonymous):
thank you and my experience with open study has been great do far
OpenStudy (anonymous):
so*
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OpenStudy (anonymous):
its ok
OpenStudy (anonymous):
its giving me time to try to solve it myself
OpenStudy (anonymous):
<E = <F = 60º given
<G = <G = 90º given
<D = <E = 30º given
DEG is similar to DEF AAA theorem
i think this is it
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
should i bump this question?
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OpenStudy (sleepyjess):
What do you mean by angle E equals angle E?
OpenStudy (anonymous):
you mean angle e= angle f
OpenStudy (anonymous):
where do you see e=e
OpenStudy (sleepyjess):
yep, sorry
OpenStudy (anonymous):
its k
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OpenStudy (sleepyjess):
ok, you are correct
OpenStudy (anonymous):
thank you very much
OpenStudy (sleepyjess):
Jay, can you confirm this?
OpenStudy (sleepyjess):
oh, he is doing something else, but I believe 100% you are right :)
OpenStudy (anonymous):
thank you can
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OpenStudy (sleepyjess):
no problem :)
OpenStudy (anonymous):
and do you mind helping me with one more question?