Final answer:
The coordinates of point A and point B can be found using the properties of rectangles.
Step-by-step explanation:
The coordinates of point A and point B can be found using the properties of rectangles. Since the rectangles are identical, their sides will have the same lengths. Let's assume the length of the rectangle is 'a'.
Point A is at the intersection of the two rectangles. The x-coordinate of point A is the sum of the x-coordinate of the corner and the length of the rectangle: 10 + a. The y-coordinate of point A is the sum of the y-coordinate of the corner and half the length of the rectangle: 14 + (a/2).
To find point B, we can consider the rectangle as a translation of the other rectangle. The x-coordinate of point B is the sum of the x-coordinate of the corner and the length of the rectangle: 10 + a. The y-coordinate of point B is the sum of the y-coordinate of the corner and the length of the rectangle: 6 + a.