Use the image to answer the question.

A rectangle is labeled upper A upper B upper C upper D. The area inside of the rectangle is shaded, and each of the vertices is labeled.

Jarvis wants to translate rectangle ABDC
horizontally by −4
and vertically by +3 to produce rectangle A′B′D′C′
. What will be the coordinates of C′
after Jarvis completes this translation?

1 answer

The coordinates of C before the translation are (A, B).

To translate horizontally by -4, we subtract 4 from the x-coordinate, so the new x-coordinate of C' is A - 4.

To translate vertically by +3, we add 3 to the y-coordinate, so the new y-coordinate of C' is B + 3.

Therefore, the coordinates of C' after the translation are (A - 4, B + 3).