ABCD is a kite and AC and BD meet at the origin O. A is the point (−4, 0), B is (0, 4) and D is (0, −8).

The diagonals of a kite are perpendicular and O is the midpoint of AC.

a. Find each of the following in terms of i and j:

i. O̅C̅_(vector)

ii. A̅B̅_(vector)

iii. B̅C̅_(vector)

iv. A̅D̅_(vector)

v. C̅D̅_(vector)

vi. A̅C̅_(vector)

b. Find the lengths of the lines OC, AB, BC, AD, CD and AC.

c. State two descriptions that are common to the triangles AOB, BOC and ABC.