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OpenStudy (anonymous):
OpenStudy (anonymous):
You have AAA and one side. You can do the proof. Start with alternate interior angles..
OpenStudy (anonymous):
i don't know how to do it :/
OpenStudy (anonymous):
Well, here is a sketch..
you are given angle B = angle D
Since AD is parallel to CD, angle A = angle C
So you have two angles and the third must also be equal, so you have at least similar triangles.
Now, you are given BF = ED
Notice that angle B = angle D and angle F = angle E
Now you have ASA
OpenStudy (anonymous):
i don't get anything :S
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OpenStudy (anonymous):
You understand that angle B = angle D, and why?
OpenStudy (anonymous):
i don't get why :S
OpenStudy (anonymous):
It's given. It's in the problem statement.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
It's also given that AB is parallel to CD.
Sorry, I had a typo before, maybe that confuse you.
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OpenStudy (anonymous):
its ok
OpenStudy (anonymous):
The two slash lines means parallel.
OpenStudy (anonymous):
i know that
OpenStudy (anonymous):
Now, do you know a theorem that explains why the green angles are equal in this picture?