Use a graph to you answer these questions.
a. what is the modulus of the complex number 2 − 2i?
b. what is the argument of the number 2 − 2i?
c. write the complex number in polar form.
d. arguments can be measured in radians. expres your answer to part (c) using radians.
e. explain why the polar and rectangular forms of a complex number represent the same number.

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Me with geometry ! in this figure, bc is a perpendicular bisects of kj. dm is the angle bisects of bdj. what is the measure of bdm? •60° •90° •30° •45°

Find the solution of each of the following.