SOLUTION: Given: AB is parallel to DE; AD is parallel to EB Prove: Triangle BAD is congruent to Triangle DEB

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Question 175443: Given: AB is parallel to DE; AD is parallel to EB
Prove: Triangle BAD is congruent to Triangle DEB
Answer by Mathtut(3670) About Me  (Show Source):
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**********************************************************************
          statement                        reason
**********************************************************************
1.AB // DE, AD // EB                       1. given

2.quadrilateral ABED is a parallelogram    2. converse parallelogram th. if 
                                              opposite sides of a quadrilatral
                                              are parallel the quad is 
                                              parallelogram

3.BD is a diagonal of ABED                 3. def. of a diagonal

4.tri BAD is congruent to tri DEB          4. diagonals of paralleogram form
                                              two congruent triangles

// stands for parallel