Aidan rode his bike 135 milesin 9 weeks, riding the same distance each
week. Emily rode her bike 102 milesin 6
weeks, riding the same distance each
week. Which statement correctly
compares the number of miles per
week they rode?

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.