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Bunuel
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1- This tells us that BD is perpendicular to AC but doesn't mention whether AD=DC.(Insufficient)
2-AB=BC which tells us that. (insufficient)
combining both we find that BD is the perpendicular bisector which means that x=y.
Ans- C
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I said B, which I know is wrong. This is an example of me moving too fast and making an assumption. This is the silly mistake I am really trying to avoid making. In statement 2, nowhere does it say that BC bisects the base, but for some reason I assumed it did.

Simple mistakes are killing me.
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