Consider the diagram. Triangles A B R and R C A share side R A. Angles B A R and A R C are right angles. Sides B R and A C are congruent. Which congruence theorem can be used to prove △ABR ≅ △RCA? HL SSS ASA SAS

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.