Question

Triangle XYZ will be translated so that the coordinates of X' are (5, 11). What are the coordinates of Z' if the original point of Z is (8, 7)?

Answer 1

To find the coordinates of Z' after the translation, subtract the coordinates of Z from the coordinates of X'. The x-coordinate of Z' is -3 and the y-coordinate of Z' is 4.

Step-by-step explanation:

In order to find the coordinates of Z' after the translation, we need to determine the displacement between the original point Z and the translated point X'. We can do this by subtracting the coordinates of Z from the coordinates of X'.

To find the x-coordinate of Z', we subtract the x-coordinate of Z (8) from the x-coordinate of X' (5), resulting in -3. Therefore, the x-coordinate of Z' is -3.

To find the y-coordinate of Z', we subtract the y-coordinate of Z (7) from the y-coordinate of X' (11), resulting in 4. Therefore, the y-coordinate of Z' is 4.

Therefore, the coordinates of Z' are (-3, 4).