A computer graphic is created by first connecting the midpoints of a square that is 248 pixels by 248 pixels to form a smaller quart within it and then by repeating first step on this smaller quart to get an even smaller one. We want to find the side length , s pixels, of the smallest square

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.