Asurveyor finds that the cross-section of a circular pond has the shape of a parabola. the pond is 24 feet in diameter. the middle of the pond is the deepest part at 8 feet deep. at a point

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.