what is the anwser

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)
(
,
)

1 answer

To find the coordinates of \( C' \) after Jarvis translates rectangle \( ABCD \) horizontally by \(-4\) and vertically by \(+3\), we need to first identify the coordinates of point \( C \).

Assuming you have the coordinates of point \( C \) as \((x_C, y_C)\), the translation will adjust the coordinates as follows:

  • Horizontal translation of \(-4\): This will subtract \(4\) from the x-coordinate.
  • Vertical translation of \(+3\): This will add \(3\) to the y-coordinate.

So, the new coordinates of point \( C' \) after translation will be:

\[ C' = (x_C - 4, y_C + 3) \]

To give a specific answer, please provide the coordinates of point \( C \) from the image.

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