Ahouse has a rectangular tile kitchen that is 7 tiles wide and 8 tiles long. it also has a rectangular dining room that is 9 tiles wide and 10 tiles long. how many tiles are used for the floors of the kitchen and dining room?

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.