After school marcy can start walking dogs by 3: 15 p. m. she wants to be done walking the dogs by 6: 00p. m. so she can get home for dinner. if she schedules each dog walk for a half hour and allows herself fifteen minutes between each walk to get to the next house, how many dogs can she walk before dinner time?

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.