Geometry

Question Analysis  

Determine the fourth vertex of a square using coordinate - plane properties.

Key Concept Explanation  

Mid - point formula: For two points  and , the mid - point  is . In a square, the diagonals bisect each other, meaning the mid - point of one diagonal is the same as the mid - point of the other diagonal.

Step - by - Step Solution  

1. Identify the coordinates of the given points: , , .

2. Let the fourth vertex be .

Since the diagonals of a square bisect each other, the mid - point of  is the same as the mid - point of

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