240,233 views
1 vote
1 vote
Is there enough information to prove the quadrilateral is a parallelogram if so what property proves it

Is there enough information to prove the quadrilateral is a parallelogram if so what-example-1
User KHACHORNCHIT
by
3.0k points

1 Answer

21 votes
21 votes

To solve this problem we remember the following statement: a quadrilateral that has opposite sides that are congruent and parallel can be a parallelogram, rhombus, rectangle or square.

From the figure, we see a quadrilateral with congruent opposite sides. Relating this information to the statement above, we see that this quadrilateral can be a parallelogram, rhombus, rectangle or square. So we conclude that there is not enough information to conclude that the quadrilateral is a parallelogram.

Answer

d. Not enough information

User Nick Binnet
by
2.7k points