Question

Determine whether each quadrilateral is a parallelogram rectangle rhombus and Dory Square list of all that apply.​

Answer 1

Answer: see below

Step-by-step explanation:

(1)

  $a)\quad EF = 3\sqrt2,\quad FG = 3\sqrt2,\quad GH = 3\sqrt2,\quad HE = 3\sqrt2$

  b)   FH = 6, EG = 6

  c)   Square (which means it is also a rectangle and parallelogram)

(2)

  $a)\quad m_{EF}=3,\quad m_{FG}=-\dfrac{1}{2},\quad m_{GH}=3,\quad m_{HE}=-\dfrac{1}{2}$

  $b)\quad \text{Midpoint}_{EG}=(4.5, 1.5),\quad \text{Midpoint}_{FH}=(4.5, 1.5)$

  c)   Parallelogram