Geometry

Question Analysis  

Determine the fourth vertex of a rhombus using coordinate plane properties, mainly focusing on the fact that the diagonals of a rhombus bisect each other.

Key Concept Explanation  

Mid - point formula: For two points  and , the mid - point  is . In a rhombus, 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. Let , , .

First, find the mid - point of diagonal .

Using the mid - point formula, the mid - point  of  and  is .

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

Click "Show Answer" to reveal the answer and analysis