Quadrilateral ABCD is translated 3 units right and 8 units down. Point B is located at (1,9). What are the coordinates of B' ?
a. (4, 17)
b. (-2,1)
c. (-2,17)
d. (4,1)
To translate a point, we simply add or subtract the same value from both the x-coordinate and the y-coordinate.
If the point B is located at (1,9) and the translation is 3 units right and 8 units down, we add 3 to the x-coordinate and subtract 8 from the y-coordinate.
Adding 3 to 1 gives us 4 and subtracting 8 from 9 gives us 1.
Therefore, the coordinates of B' are (4,1).
The correct answer is d. (4,1).