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I was thinking it's SAS.
I will show you this:|dw:1420563254682:dw|
So no matter how long BF and CE are, their intersection would form equivalent BC and EF.
So you have: 2 sets of equivalent (diagonally laying) sides. they are: BD=DF DC=DC (remember that bisect means right in the middle, and given that they bisect each other, that means that the point of intersection is the middle of both bisecting segments)
And then, in addition to this, as I showed by my pictures, BC=EF (with the above [correct] conditions that are applied) and regardless of the lengths CE and BF will this will be true (that BC=EF).
go carefully over what I am saying, and take your time if needed.
Yes, I think BC=EF because their the same right?
yes, because the intersection point of two diagonal segments BF and CE is in the middle of both of this segments...
So you have 3 congruent sides.
So it will be SSS?
yes
very good!
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