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 find the new coordinates of point C′ after translating rectangle ABCD horizontally by −4 and vertically by +3, we need to know the original coordinates of point C.

Let's assume the original coordinates of point C are (x_C, y_C). The translation involves the following changes:

1. Horizontal translation by −4: This changes the x-coordinate of C.
New x-coordinate: \( x'_{C} = x_C - 4 \)

2. Vertical translation by +3: This changes the y-coordinate of C.
New y-coordinate: \( y'_{C} = y_C + 3 \)

Therefore, the new coordinates C′ will be:
\[
C' = (x_C - 4, y_C + 3)
\]

If you provide me with the original coordinates of point C, I can give you the exact coordinates for C′.