The coordinates of three vertices of a rectangle are , and . What are the coordinates of the fourth vertex?
O A.

To find the coordinates of the fourth vertex of the rectangle, we first need to identify the coordinates of the given vertices. Let’s denote the vertices as , , and .

A rectangle has sides that are either parallel to the coordinate axes or form angles of 90 degrees with each other. We can use the property that the diagonals of a rectangle bisect each other. The midpoint of diagonal should equal the midpoint of diagonal , where is the unknown fourth vertex.

Calculating the midpoint of and :

With the coordinates of point known, we can set up the equations for the midpoint of with :

Setting the midpoints equal gives us the equations:

Solving these equations:

Therefore, the coordinates of the fourth vertex are .

So, the answer is .