Question

parallelogram not necessarily a parallelogram parallelogram not necessarily a parallelogram parallelogram not necessarily a parallelogram parallelogram not necessarily a parallelogram

Explanation:

Step1: Recall parallelogram properties

A quadrilateral is a parallelogram if:

• Opposite angles are equal (for the first figure \(RTSU\)).
• Diagonals bisect each other (for the second figure \(KLMN\)).
• One pair of opposite sides is parallel and equal (for the third figure \(CABD\)).
• For the fourth figure \(XYWV\), having one pair of equal angles is not sufficient to prove it is a parallelogram.

Answer:

First figure: Parallelogram; Second figure: Parallelogram; Third figure: Parallelogram; Fourth figure: Not necessarily a parallelogram.