1. The problem asks if the given parallelogram can be concluded to be a rhombus, rectangle, or square based on the given information. 2. Important properties to recall: - A rhombus has all sides equal and diagonals that are perpendicular. - A rectangle has opposite sides equal and diagonals that are congruent. - A square has all sides equal and diagonals that are both congruent and perpendicular. 3. From the graph description, the parallelogram has diagonals that are perpendicular and opposite sides marked as equal. 4. Since the diagonals are perpendicular, this suggests the parallelogram could be a rhombus or a square. 5. However, there is no information about the diagonals being congruent, so we cannot confirm if it is a rectangle or square. 6. Also, the sides opposite each other are equal, but no information confirms all four sides are equal. 7. Therefore, from the given information, no definitive conclusion can be made whether the parallelogram is a rhombus, rectangle, or square. 8. The correct choice is A: No determination can be made. 9. The reason is D: From the given information, no determination can be made to classify the parallelogram as rhombus, rectangle, or square. This is because perpendicular diagonals alone do not guarantee a rhombus or square without confirming all sides equal or diagonals congruent. Final answer: A and D.