Geometry

Question Analysis  

Use coordinate - plane concepts such as the properties of a rhombus (equal side lengths and diagonals bisecting each other) to find the fourth vertex.

Key Concept Explanation  

Mid - point Formula: The mid - point of a line segment with endpoints  and  is . In a rhombus, the diagonals bisect each other, so 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. Calculate the mid - point of diagonal :

Using the mid - point formula, for  and , the mid - point .

3. Since the diagonals of a rhombus bisect each other, the mid - point of diagonal

Click "Show Answer" to reveal the answer and analysis