Geometry

Question Analysis  

Classify the quadrilateral using coordinate plane metrics to determine side lengths, slopes, and right angles.  

Key Concept Explanation  

Properties:  

Parallelogram: Opposite sides equal and parallel.  

Rectangle: Parallelogram with right angles (perpendicular adjacent sides).  

Rhombus: Parallelogram with all sides equal.  

Square: Rhombus + rectangle (all sides equal, all angles 90°).  

Trapezoid: At least one pair of parallel sides. 

Slope: Horizontal lines (slope = 0) and vertical lines (undefined slope) are perpendicular.  

Step-by-Step Solution  

1. vertices:  

, , , .  

2. Calculate slopes:  

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