The image contains a problem involving quadrilaterals, where you are asked to classify each figure as either a "parallelogram" or "not necessarily a parallelogram" based on given markings.

Let’s analyze each figure:

1. Figure V-W-X-Y:

   • The markings indicate opposite angles are congruent. This is not enough to confirm that the quadrilateral is a parallelogram, as there is no information about opposite sides being parallel or congruent.
   • Answer: Not necessarily a parallelogram.

2. Figure A-B-C-D:

   • Opposite sides are marked as parallel. Parallel opposite sides are a defining property of a parallelogram.
   • Answer: Parallelogram.

3. Figure G-H-I-J:

   • Both pairs of opposite sides are marked congruent (indicated by the double and single tick marks). This is sufficient to confirm the figure is a parallelogram.
   • Answer: Parallelogram.

4. Figure K-L-M-N:

   • Only one pair of opposite sides is marked as congruent. For a quadrilateral to be a parallelogram, both pairs of opposite sides must be parallel or congruent. This figure lacks that information.
   • Answer: Not necessarily a parallelogram.

Would you like further explanation or a step-by-step breakdown of any part?

Related Questions:

1. What are the properties of parallelograms that help classify them?
2. How do congruent angles and sides indicate a parallelogram?
3. How do you prove a quadrilateral is not a parallelogram?
4. What role does symmetry play in classifying parallelograms?
5. Can a quadrilateral with only one pair of parallel sides ever be a parallelogram?

Tip:

When analyzing quadrilaterals, always look for at least two pairs of parallel or congruent sides to confirm a parallelogram.