9. jack cut a piece of wood that was 8 feet long into two pieces. one piece is three times as long as the other. how long is the shorter piece of wood?
a. 4 feet long
b. 3 feet long
c. 1 foot long
d. 2 feet long

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.