The figure shows the location of three points around a lake. the length of the lake, bc, is also shown.
(the figure is not drawn to scale.)

which of the following choices is closest to the distance (in miles) between points a and b?

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.