The center of a square is at the origin and its one vertex is `A(2,1)`. Find the coordinates of the other vertices of the square.

Explanation

To find the coordinates of the other vertices of the square given that one vertex is \( A(2, 1) \) and the center of the square is at the origin \( O(0, 0) \), we can follow these steps:

### Step 1: Understand the properties of the square
The center of the square is the midpoint of the diagonals. Since the center is at the origin, it will be the midpoint of the line segment connecting vertex \( A \) and the opposite vertex \( C \).

### Step 2: Use the midpoint formula
The midpoint \( M \) of two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
\[
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