SOLUTION: Hi! 12. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Image URL: http:

Click here to see ALL problems on Parallelograms

Question 1105098: Hi!
12. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification.
Image URL: http://prntscr.com/hp7irk
a) No
b) Yes, both pairs of opposite angles are congruent.
c) Yes, both pairs of opposite sides are parallel.
d) Yes, both pairs of opposite sides are congruent.
My Answer: D
Reason Why?
Theorem 6 - 8; If both pairs of opposite sides of a quadrilateral are congruent,
then the quadrilateral is a parallelogram.
Could someone please check my answer?
Thanks!
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
the diagram shows that opposite sides are congruent.
your answer is good.
if opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.
here's the reference for the proff of that statement.
https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDThPf6.html