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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)
(
,
)

GPT-4o mini · Answer

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

C= (5,1)