Answer: see below
Step-by-step explanation:
(1)
[tex]a)\quad EF = 3\sqrt2,\quad FG = 3\sqrt2,\quad GH = 3\sqrt2,\quad HE = 3\sqrt2[/tex]
b) FH = 6, EG = 6
c) Square (which means it is also a rectangle and parallelogram)
(2)
[tex]a)\quad m_{EF}=3,\quad m_{FG}=-\dfrac{1}{2},\quad m_{GH}=3,\quad m_{HE}=-\dfrac{1}{2}[/tex]
[tex]b)\quad \text{Midpoint}_{EG}=(4.5, 1.5),\quad \text{Midpoint}_{FH}=(4.5, 1.5)[/tex]
c) Parallelogram
