The Pak Family bought an soft by 64ft rectangular lot in residential zone. Melissa Pak hired a contractor to build a house on that lot. The diagram below shows quadrilateral LAND,
which represents the lot, and quadrilateral HOME, which is the house they will have built.
H, 0, M, and E are the midpoints of the sides of the rectangular lot.

Part A: Determine whether HOME is a rhombus. Justify your answer