IS THAT D, PLEASE CORRECT IF I AM WRONG

Question

What type of quadrilateral is DEFG? How do you know?

1. 
   
2. A.
3. square; all sides are congruent and opposite angles are equal.
4. 
   
5. B.
6. rhombus; all sides are congruent and opposite angles are equal.
7. 
   
8. C.
9. trapezoid; opposite sides are parallel and opposite angles are equal.
10. 
    
11. D.
12. parallelogram; opposite sides are parallel and opposite angles are equal.

Answer 1

it's a parallelogram

opposite sides are parallel and opposite angles are equal

it's not a rhombus, as all 4 sides are not equal

it's not a square as all 4 sides are not equal and all 4 angles are not equal

it's not a trapezoid (known as a trapezium in Canada) as it has 2 pairs of parallel lines, not just one

the definitions of A, B, and C are not correct. Also the quadrilateral doesn't fit correct definitions for square, rhombus and trapezoid.

ED=FG = sqr(3^2+1^2) = sqr10 = about 3.16

ED is parallel to FG

EF=DG = sqr(4^2+1^2) = sqr17 = about 4.12

EF is parallel to DG

Angle D= Angle F

Angle E = Angle G