Aubrey came across an ad for a brand new gym that does not charge a sign-up fee but charges a membership fee of $52.00 per month. She is trying to decide which gym would be the best option if she's only planning on joining for 6 months. Use the expression 52m to find your answer.

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.