A figure is shown. N Select the statements that, when taken alone, could be used to prove that AHIN and A TIG are similar. O ZT E 2I O TG || HN O TG I IG O N is the midpoint of GI. O HN bisects IG and TI O ATIG is dilated by a scale factor less than 1 centered at point I to produce AHIN.

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.