Jarvis wants to translate rectangle A(-7,2)B(-2,2)C(-7,-3)D(-2,-3) horizontally by -4 and vertically by +3 to produce A'B'C'D'. What will be the coordinates of C' after Jarvis completes this translation?

Question

a. (-11, 5)
b. (-9, 0)
c. (-9, 4)
d. (-11, 0)

Answer 1

To translate the rectangle C(-7, -3) horizontally by -4 and vertically by +3, we can follow these steps:

1. Horizontal Translation: Since we are translating horizontally by -4, we subtract 4 from the x-coordinate of point C.

   • New x-coordinate = -7 - 4 = -11

2. Vertical Translation: Since we are translating vertically by +3, we add 3 to the y-coordinate of point C.

   • New y-coordinate = -3 + 3 = 0

Combining these results, the new coordinates of C' after the translation will be:

C' = (-11, 0)

Thus, the answer is:

d. (-11, 0)