SOLUTION: GIVEN: angle B is congruent to angle D, side BC is congruent to side DC PROVE: triangle ABC is congruent to triangle ECD

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Question 178987: GIVEN: angle B is congruent to angle D, side BC is congruent to side DC
PROVE: triangle ABC is congruent to triangle ECD
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
this proof is based on this drawing. In the future , since we dont have access to the problems people provide, try to describe it as best you can, so that we dont have to guess as to the form of the drawings. Thanks Mathtut
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             statement                             reason
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1.@B congruent @D                              1. Given
  BC congruent DC

2.ED // AB                                     2.converse alternate int.angles

3.@E congruent @B                              3.alt interior angles

4.tri ABC congruent tri ECD                    4.AAS

AAS-if two angles and the non included side of one triangle are congruent to the corresponding parts of another triangle, the two triangles are congruent.