The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is three fourths. write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

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.