Proving triangles congruent: Given |AE| par to, cong to |BD|, <E cong to <D, prove...

[Tmdan4357]

Proving triangles congruent: Given |AE| par to, cong to |BD|, <E cong to <D, prove...

May you help me?

 

[Deleted member 4993]

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[stapel]

May you help me?

triangle, line, & angle diagram:

diagram:
           E*               D*
           /\                /\
         /   \             /   \
       /      \          /      \
     /         \       /         \
   /            \    /            \
 /               \ /               \
*-----------------*-----------------*
A                 B                 C

\(\displaystyle \mbox{Given: }\, \overline{AE}\, \|\, \overline{BD};\, \overline{BD}\, \cong\, \overline{AE};\, \angle E\, \cong\, \angle D\)

\(\displaystyle \mbox{Prove: }\, \triangle BEA\, \cong\, \triangle CDB\)

Hint: If one extends lines AE, BD, and AC, what can one say about the measures of angles EAB and DBC?