Geometry

Question Analysis

The goal is to find the fourth vertex of a parallelogram using the mid - point property.

Key Concept Explanation

The mid - point formula between two points  and  is . For parallelogram , the mid - point of diagonal  is equal to the mid - point of 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 .

3. Let the coordinates of  be

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