Geometry

Question Analysis  

Classify the quadrilateral using coordinates by analyzing symmetry, side lengths, and slopes.  

Key Concept Explanation  

Distance Formula: to check equal sides.  

Slope Formula: to verify parallelism/perpendicularity.  

Symmetry: Points are symmetric about the x-axis and y-axis, indicating a central quadrilateral.  

Step-by-Step Solution  

1. Vertices:  

, , , .  

2. Calculate side lengths:  

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