2. Row 1 Row 6 Row 5 Row 2 Row 7 Row 3 Row 8 Row 4 Row 9 Row 10 Row 11

3. This figure has no parallel lines or congruent sides. One pair of opposite angles are congruent but the other is not. It is NOT a Parallelogram

4. This figure is a Parallelogram Reason: Both pair of opposite angles are congruent

5. Because of Alternate Interior Angles Converse, the top and bottom sides are parallel. Since none of the arcs touch the left or right Sides, we do not have enough information to Say the left and right sides are parallel. This figure is NOT a Parallelogram

6. This figure has one angle (70  ) that is Supplementary to its two consecutive angles (110  ). 70  110  This figure is a parallelogram. Reason: One angle is supplementary to its two consecutive angles.

7. Reason: Diagonals bisect each other.

8. The single arcs make the top and bottom parallel. The double arcs make the left and right parallel. Both of these are by the Alternate Interior Angles Converse(2x). Reason: Definition of parallelogram (Both pair of opposite sides are parallel.) This figure is a parallelogram.

9. The single arcs make the top and bottom parallel. The double arcs make the left and right parallel. Both of these are by the Alternate Interior Angles Converse(2x). Reason: Definition of parallelogram (Both pair of opposite sides are parallel.) This figure is a parallelogram.

10. The hash marks mean the top and bottom are congruent. The arcs make the top and bottom parallel by Corresponding Angles Converse. Reason: One Pair of opposite sides is both parallel and congruent.

11. The hash marks mean the left and right are congruent. The arrowheads mean that the top and bottom are parallel. Since these are not the same pair of sides, It is not a parallelogram. This figure is NOT a parallelogram.

12. The hash marks mean the three segments are congruent. This is not enough information to say that it is a parallelogram.

13. The arcs are marking vertical angle pairs. This does not make any sides congruent or any sides parallel. It is insufficient information for a parallelogram.

14. The left and right sides are the same length and they are also parallel. 5 cm Reason: One Pair of sides is both parallel and congruent. This figure IS a parallelogram.

15. The top and bottom are parallel because of the Alternate Interior Angles Converse. Reason: Definition of Parallelogram. The left and right sides are parallel because of the Corresponding Angles Converse.

16. This figure IS NOT a parallelogram. The opposite sides are not the same lengths.

17. Since all right angles are congruent, the opposite angles are congruent. Other reasons also apply. Reason: Both Pair of opposite angles are congruent.

18. Left and right sides are parallel and top and bottom are parallel. Reason: Definition of Parallelogram.

19. Left and right sides are congruent and top and bottom are congruent. Reason: Both pair of opposite sides are congruent.

20. Even though the top and bottom are congruent and one pair of opposite angles are congruent, this is insufficient to ensure a parallelogram. This figure IS NOT a parallelogram.

21. The diagonals are NOT bisecting each other.

22. Even though the arcs mean that the top and bottom segments are parallel by the Alternate Exterior Angles Converse, that is all we know. We don’t know the other pair is parallel and we don’t know if the top and bottom are congruent.

23. By Reflexive and AAS, these two triangles are congruent, so their corresponding sides will be congruent by CPCTC. This means the left and right sides are congruent and the top and bottom are congruent. (other reasons work too) Reason: Both Pair of opposite sides are congruent. This figure IS a parallelogram.

24. By Consecutive Interior Angles Converse, we know that the top and bottom will be parallel. However, this is not enough to make it a parallelogram. This figure IS NOT a parallelogram.

25. There is no reason that includes adjacent sides being congruent. Aa Quad ABCD AB  BC CD  AD AB  BC A DC B This figure IS NOT a parallelogram.

26. Since BC and AD are perpendicular to the same segment, AB, then they are parallel by two lines perpendicular to the same line are parallel. Aa Quad ABCD AB  BC A DC B AB  BC AB  AD AD  BC AB  AD Reason: One Pair of opposite sides are both parallel and congruent. This figure IS a parallelogram.

27. Since the two diagonals are bisecting each other, it is a parallelogram. Aa Quad ABCD AB  BC A D C B Diagonals intersect at E AB  AD BE  ED AE  EC Reason: Diagonals bisect each other. E This figure IS a parallelogram.

28. There is no reason that includes that the diagonals are congruent to each other. Aa Quad ABCD AB  BC AC  BD AB  BC A DC B This figure IS NOT a parallelogram.

29. Even though the diagonals are congruent and perpendicular, this is not a reason used to verify a parallelogram. Aa Quad ABCD AB  BC A DC B AC  BD AB  AD AC  B D This figure IS NOT a parallelogram.

30. Parallelograms have two pair of opposite angles congruent, not two pair of adjacent angles. Aa Quad ABCD AB  BC A  BA  B A DC B C  DC  D This figure IS NOT a parallelogram.

31. The Consecutive Interior Angles Converse makes segments AD and BC parallel. However, just two parallel segments do not make a parallelogram.. Aa Quad ABCD AB  BC  A &  B are supplementary AB  BC A DC B  C  &  D are supplementary This figure IS NOT a parallelogram.

32. This figure IS a parallelogram. Aa Quad ABCD AB  BC A  CA  C A DC B D  BD  B Reason: Both Pair of opposite angles are congruent.

33. Since angle D is supplementary to its two consecutive angles, A and C, it is enough to say it is a parallelogram. Aa Quad ABCD AB  BC  A &  D are supplementary AB  BC A DC B  C  &  D are supplementary Reason: One angle is supplementary to both its consecutive angles. This figure IS a parallelogram.

34. Since 115 + 15  180, the consecutive angles are not supplementary, so it is not a parallelogram. 15  Quad ABCD m  A = 15  m  B = 115  m  C = 15  A DC B 15  115  This figure IS NOT a parallelogram.