George has a triangle-shaped garden in his backyard. he drew a model of this garden on a coordinate grid with vertices a(4, 2), b(2, 4), and c(6, 4). he wants to create another, similar-shaped garden, a′b′c′, by dilating triangle abc by a scale factor of 0.5. what are the coordinates of triangle a′b′c′?

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.