Geometry

Question Analysis:  
This question requires determining the type of quadrilateral from vertex coordinates using slope and length.  
The main focus is on proving a rectangle.

Key Concept Explanation:  
A rectangle has:  
- Opposite sides congruent and parallel  
- All angles equal to 90° (right angles)

Step-by-Step Solution:
1. Slopes of sides:  
- :  
 
(Horizontal line)
- :  
 
⇒
- :    
(Vertical line)
- :    
⇒

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