Question

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 point)
(
,
)

Answer 1

To determine the coordinates of point C' after the translation, we need to know the original coordinates of point C.

Let's denote the original coordinates of point C as (x_C, y_C).

According to the translation described:
- The rectangle is translated horizontally by -4, which means we subtract 4 from the x-coordinate.
- The rectangle is translated vertically by +3, which means we add 3 to the y-coordinate.

The new coordinates of point C (C') after the translation will be given by the following formulas:
- x-coordinate of C' = x_C - 4
- y-coordinate of C' = y_C + 3

Thus, the coordinates of point C' will be:
C' = (x_C - 4, y_C + 3)

If you can provide the original coordinates of point C, I could calculate the exact coordinates of point C'.

Answer 2

C= (5,1)