You breed poodles and notice there is a bimodal distribution of poodle heights in your kennel. one group, which contains 21 dogs, averages 20.5 inches. another group that contains 17 dogs, averages 32.1 inches.

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.