Pole-Zero Configuration of Glottal Signal
Recall what a pole is? It's where the z-transform tends to infinity. What value(s) of $z$ would cause $G(z) =\frac{1}{(1-\beta z)^2}\rightarrow \infty$? (This will answer your reciprocal question). 

Next, note that $\beta &lt;1.$ So where would $\beta$ go relative to 1? 
(This will answer your question about why the pole is drawn in the location shown.)