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

Answers

GPT-4o mini
To determine the coordinates of \( C' \) after the translation, we need the original coordinates of point \( C \) in rectangle \( ABCD \). However, since the coordinates of point \( C \) are not provided in your question, let's assume the coordinates of point \( C \) are \( (x, y) \).

The translation involves moving the rectangle horizontally by \(-4\) units (to the left) and vertically by \(+3\) units (up). So, we will apply the following transformations to the coordinates of point \( C \):

1. Horizontal translation: \( x' = x - 4 \)
2. Vertical translation: \( y' = y + 3 \)

Therefore, the new coordinates of point \( C' \) will be:

\[
C' = (x - 4, y + 3)
\]

If you provide the original coordinates of point \( C \), I can give you the exact coordinates for \( C' \).

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