Question

A farmer is adding two enclosed containers to collect rainwater on his farm. In order to make sure the containers are placed a precise locations beside two barns, he uses a coordinate system to build the containers. The base of the first container connects vertices A, B, B and D as listed: A ( -7, 3) B( -3, 0) C 3, 8) D (-1, 11)

What shape is the farmer constructing as the base of this container? Use a possible name for the quadrilateral. Prove mathematically that this name is appropriate.

Answer 1