Amy is making a puppet that requires equal pieces of string to make it dance. amy has 33 inches of string. how many 5 1/2
inch pieces can she cut from the string?

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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.

Which geometric principle is used to justify the construction below?