Georgia is renting two kinds of rowboats for the campout. One type of rowboat seats 3 people and the other seats 5 people. If 53 people will be at the campout and she rents 13 boats, how many of each type of boat does she rent?

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.