Geometry

Question Analysis  

Determine the fourth vertex of a rectangle using properties of parallel and equal sides in the coordinate plane.

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 horizontal line (same  - coordinate ), the opposite side of the rectangle will also be horizontal.

Since

Click "Show Answer" to reveal the answer and analysis