x(5,6), y(9,12), z(12,8) is translated to right 8 units and up 3 units what are the cordinates of x', y', and z'?
To translate a point to the right and up, we add the values of the translation to the x-coordinate and y-coordinate, respectively.
For x:
- x-coordinate translates from 5 to 5 + 8 = 13
- y-coordinate translates from 6 to 6 + 3 = 9
So x' is at (13, 9).
For y:
- x-coordinate translates from 9 to 9 + 8 = 17
- y-coordinate translates from 12 to 12 + 3 = 15
So y' is at (17, 15).
For z:
- x-coordinate translates from 12 to 12 + 8 = 20
- y-coordinate translates from 8 to 8 + 3 = 11
So z' is at (20, 11).
Therefore, the coordinates of x', y', and z' are (13, 9), (17, 15), and (20, 11), respectively.