Geometry

Question Analysis  

Determine the fourth vertex of a rectangle using the properties of rectangles in the coordinate plane, specifically the parallel and equal - side relationships.

Key Concept Explanation  

In a rectangle, opposite sides are parallel and equal. Horizontally - aligned sides have the same  - coordinates for their endpoints, and vertically - aligned sides have the same  - coordinates for their endpoints.

Step - by - Step Solution  

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

Since  is a vertical line (same  - coordinate ), the opposite side  will also be vertical.

Since  is a horizontal line (same  - coordinate

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