Answer:
E(3.75,-2.5)
G(-0.75,-3)
Step-by-step explanation:
Point E is the midpoint of the segment AB, then it has coordinates
[tex]\left(\dfrac{-3+6}{2},\dfrac{-1+(-3)}{2}\right)=\left(\dfrac{3}{2},-2\right).[/tex]
Point F is the midpoint of the segment EB, then it has coordinates
[tex]\left(\dfrac{\frac{3}{2}+6}{2},\dfrac{-2+(-3)}{2}\right)=\left(\dfrac{15}{4},-\dfrac{5}{2}\right)=(3.75,-2.5).[/tex]
Let S be the midpoint of segment CB, then it has coordinates
[tex]\left(\dfrac{-3+6}{2},\dfrac{-3+(-3)}{2}\right)=\left(\dfrac{3}{2},-3\right).[/tex]
Point G is the midpoint of segment CS, then its coordinates are
[tex]\left(\dfrac{\frac{3}{2}+(-3)}{2},\dfrac{-3+(-3)}{2}\right)=\left(-\dfrac{3}{4},-3\right)=(-0.75,-3).[/tex]
