conjugate and inverse of z

[zvezda]

I'm having a little trouble here. In the essentials textbook, it says that 1/z equals the conjugate of z? (top of page 162 if anyone has the text)
am I missing something here? I tested this out with 2+2i. 1/(2+2i) - although having the same Argument as 2-2i - has a different modulus. Don't conjugates have to have the same modulus as the original complex number?
Something isn't clicking for me atm, and I'd appreciate any help. Thanks

[polar]

generally the magnitude won't be the same, but the argument is the same

[zvezda]

I had a look at the back of the text book for the definition before I saw this. Anyway, what it said there was that for z=rcis(theta), the conjugate is rcis(-theta)?

[Jenny_2108]

I'm having a little trouble here. In the essentials textbook, it says that 1/z equals the conjugate of z

(reflection in the x-axis)

[polar]

I had a look at the back of the text book for the definition before I saw this. Anyway, what it said there was that for z=rcis(theta), the conjugate is rcis(-theta)?

[BubbleWrapMan]

if and only if

[Jenny_2108]

if and only if

lol I didn't read ques carefully 

[zvezda]

if and only if

thanks for that

[BigAl]

if and only if

I like using this symbol <->