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:
Algebra.Com
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
RELATED QUESTIONS
Use the following image to answer the questions below:
a. What information would... (answered by Alan3354,ikleyn)
determine whether the figure with verticies at (1,2), (3,1), (4,3), and (2,4) is a... (answered by Fombitz)
An article in a newspaper states that the proportion of traffic accidents involving road... (answered by robertb)
Determine the area of a parallelogram if the base is 12 cm, the side is 9cm and the... (answered by Alan3354)
Based on a poll, 70% of Internet users are more careful about personal information... (answered by Boreal)
use the concept of slope to determine if the given figure is a parallelogram or a... (answered by Nate)
Determine whether a quadrilateral with vertices A (5,7) B (1, -1) C (-6,-3) and D (-2,5)... (answered by josgarithmetic)
what is the area of a rectangle with a wi
dth of 12 feet and a lenth of 10... (answered by stanbon)
Determine whether the figure is a parallelogram for the given values of the... (answered by stanbon)