Given that segment BC is parallel to segment FE and segment BC is congruent to segment FE, which theorem or postulate proves triangleBCD is congruent to triangleFED?

Question

anonymous · Answer

attachment

anonymous · Answer

HL Congruence Theorem
       ASA Congruence Postulate
       SAS Congruence Postulate
       SSS Congruence Postulate

nikato · Answer

|dw:1387409031711:dw|ok, so thats whats given. can u see anything else that can be congruent btw the 2 trinalges

anonymous · Answer

umm yes i think :P

anonymous · Answer

the  top and the bottom are the same

nikato · Answer

yup BC=EF. what else do u know based on the given

anonymous · Answer

ASA

nikato · Answer

do u want to show me which 2 pairs of angles are congurnet onthe diagram?

anonymous · Answer

BDC=EDF

nikato · Answer

yes , they are congrunet by the vertical angle theorem. and what other pair?

anonymous · Answer

umm not sure

anonymous · Answer

:/

nikato · Answer

well, i dont think ur suppose to use that pair anyway

do u know that thoerem that states if two lines are parallel and cut by a transversal, then the alternate interior angles are congrunet?

anonymous · Answer

nope i dont know that

anonymous · Answer

but is the answer ASA ??

nikato · Answer

|dw:1387409668960:dw|by that theorem, u have those two pairs congruent