Question

A (1, -1) B (7, -1) C (7, -4) D (1, -4). Write the new coordinates after translating units to the left and five units up.

A) A (-4, 4) B (2, 4) C (2, -1) D (-4, -1)
B) A (-6, -6) B (2, -6) C (2, -9) D (-6, -9)
C) A (-5, -1) B (1, -1) C (1, -6) D (-5, -6)
D) A (-3, -3) B (5, -3) C (5, -8) D (-3, -8)

Answer 1

To translate a point in the Cartesian plane to the left and up, subtract the desired units from the x-coordinate and add the desired units to the y-coordinate.

Step-by-step explanation:

To translate a point in the Cartesian plane to the left and up, we subtract the desired units from the x-coordinate and add the desired units to the y-coordinate. For example, to translate the point A(1, -1) units to the left and 5 units up, we subtract 1 from the x-coordinate and add 5 to the y-coordinate. The new coordinates for point A would be (-1, 4). We can apply the same process to the other points to find their new coordinates.

Thus, the correct answer is option A) A (-4, 4) B (2, 4) C (2, -1) D (-4, -1).