The coordinates of the vertices of quadrilateral BETH are B(-4, -1), E(5, -2), T(2, 3), and H(-7, 4). Using coordinate geometry:
a) find the length of the diagonals.
b) show that the diagonals do or do not bisect each other.
c) give a reason to show whether BETH is or is not a parallelogram
d) give a reason to show whether BETH is or is not a rectangle.