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Answer :
Final answer:
Without seeing the graph, the most specific classification of quadrilateral WXYZ can't be provided. The classification depends on the properties like equal sides, right angles, and parallel sides to distinguish between a square, rectangle, parallelogram, and rhombus.
Explanation:
To answer the student's question about the most specific name for quadrilateral WXYZ without access to the graph, we cannot definitively determine its classification. However, various properties define these types of quadrilaterals. A square has four equal sides and every angle is a right angle. A rectangle has opposite sides that are equal and every angle is a right angle. A parallelogram has both pairs of opposite sides parallel, but not necessarily angles of 90 degrees. A rhombus has four equal sides with opposite angles equal but doesn't require right angles.
In practice, when deciding between these options, we look at the sides and angles. If all sides are equal and all angles are right, it is a square. If only the angles are right and the opposite sides are equal, it is a rectangle. If only the sides are equal and the angles are not necessarily right, it is a rhombus. If neither the sides are equal nor the angles are right, but opposite sides are parallel, it is a parallelogram.
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