Use the image to answer the question.

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 find the new coordinates of point \( C' \) after the translation, we need to apply the given translations to the coordinates of point \( C \).

Let's denote the original coordinates of \( C \) as \( (x, y) \).

The translation involves:

• Moving horizontally by \(-4\): This means we will subtract 4 from the \( x \)-coordinate.
• Moving vertically by \(+3\): This means we will add 3 to the \( y \)-coordinate.

After applying the translations, the new coordinates \( C' \) will be: \[ C' = (x - 4, y + 3) \]

Without the specific coordinates for point \( C \), we cannot provide a numerical answer for \( C' \), but this formula gives you the method to find it. You would just need to replace \( x \) and \( y \) with the coordinates of \( C \).