Classify the system and give the number of solutions. answer choices
This system is inconsistent. It has infinitely many solutions.
This system is inconsistent. It has no solutions.
This system is consistent. It has infinitely many solutions.
This system is consistent. It has one solution.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.