Geometry

Question Analysis

The main idea is to utilize the mid - point property of the diagonals of a square.

Key Concept Explanation

The mid - point formula between two points  and  is . For square , the mid - point of diagonal  will be the same as the mid - point of diagonal .

Step - by - Step Solution

1. First, find the coordinates of the given points: , , .

2. Calculate the mid - point of diagonal :

Using the mid - point formula, .

3. Let the coordinates of  be

Click "Show Answer" to reveal the answer and analysis