Welp guys u may have seen my questions a lot asking dumb things the account was called emancannotrule34 but it got a temporary ban but besides that. OMG GUYS I JUST FOUND OUT WHAT P--ORN IS AND SOMETHING IS RISING AND IT AINT THE TEMPERATURE

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.