your house is located at A' (-2, 1) B' (0, 1) C' (0, 3) D' (-1, 4) E' (-2, 3). you have a new neighbor move in across the street from there your house is now located. they build the same exact house as you have. what our the coordinates of your new neighbors house?
Given that the coordinates of your house are A' (-2, 1), B' (0, 1), C' (0, 3), D' (-1, 4), E' (-2, 3), and the new neighbor's house is located across the street, we can determine the coordinates of the new neighbor's house:
To move across the street, we need to consider the change that occurs in the x-coordinate. Since the x-coordinate of your house is -2, the change that occurs is from negative to positive, indicating a movement from left to right. To find the change in the x-coordinate, we look at the difference between the x-coordinate of point B' (0) and the x-coordinate of point A' (-2):
Change in x-coordinate = B'x - A'x = 0 - (-2) = 2
Next, we add this change in the x-coordinate to the x-coordinate of each of your house's points to find the corresponding coordinates of the new neighbor's house:
A (-2, 1) becomes A' (0, 1) (Change in x: +2)
B (0, 1) becomes B' (2, 1) (Change in x: +2)
C (0, 3) becomes C' (2, 3) (Change in x: +2)
D (-1, 4) becomes D' (1, 4) (Change in x: +2)
E (-2, 3) becomes E' (0, 3) (Change in x: +2)
Therefore, the coordinates of your new neighbor's house are A' (0, 1), B' (2, 1), C' (2, 3), D' (1, 4), E' (0, 3).