25 points
the company is building a scale model of the theater’s main show tank for an investor's presentation. each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. what is the volume of the smaller mock-up tank?

main tank: 359188.76

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.