Describe how a piecewise function can be more useful in real-world scenarios as opposed to a singular linear or non-linear function. Provide your own example of a real-life scenario. Include algebraic and graphical representations in addition to a verbal description

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.