PLEASE ANSWER THIS

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 as opposite sides are parallel and opposite angles are equal

Answer 2

Hi Humar P

Record the coordinates of each point D(2, 1), E(3, 4), F(7, 5) and G(6, 2)

Use the distance formula to calculate the length of each side.

If all sides are equal you have a rhombus

If parallel sides are equal you have a parallelogram

I get DE = FG = √10 and EF = DG = √17

Hope this helps