Given: quadrilateral CDEF with C(-2,3), D(-5,-4), E(2,-1) and F(5,6)
Prove:CDEF is a rhombus but not a square
PROOF:
CDEF is a parallelogram because it has 2 sets of opposite sides congruent. It is a rhombus because it has four congruent sides. CDEF is not a square because a square has congruent diagonals and the diagonals of CDEF are not congruent.