A rectangle has verticles at these coordinates (-6, 3), (-6, 5), (2, 3)

What are the coordinates of the fourth vortex of the rectangle?

Answer: (2,5)

Is this what you are asking?

the fourth vertex is D (2,5).

Step-by-step explanation:

A rectangle has vertices at these coordinates A (-6, 3), B (-6, 5), C (2, 3).

Suppose the fourth vertex is D (x, y).

Then to make a rectangle, AB = CD.

√{ (-6 - - 6) ² + (5 - 3) ²} = √{ (x-2) ² + (y-3) ²}.

√{ (-6 + 6) ² + (5 - 3) ²} = √{ (x-2) ² + (y-3) ²}.

√{ (0) ² + (2) ²} = √{ (x-2) ² + (y-3) ²}.

So x-2=0 and y-3=2

x=2 and y=5.

Hence, the fourth vertex is D (2,5).