1st question: ∠G = 180 - (104+33) = 43°. According to the picture, we can claim that. Indeed, we considered that ∠N= ∠H.
2nd question: In order to carry out this transformation, using similarity transformation the following steps must be applied
1) From the center of the second circle to the center of the first circle, a vector has to be drawn
2) The second circle must be carried to the first circle by this vector.
3) Finally, the transformation is done by this dilation. Indeed, everything comes to the theorem for the similarity of the circles that all circles are similar.
And the scale factor is [tex] \frac{r_{1} }{r_{2} } = \frac{8}{4} =2 [/tex]
