Use the coordinates to answer the question.

Question

Point A: (-5, 4)
Point B: (-1, 4)
Point D: (-1, 1)
Point C: (-5, 1)

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?

Answer 1

To translate point \( C \) horizontally by \(-4\) and vertically by \(+3\), we will adjust the coordinates of point \( C \) accordingly.

Point \( C \) has the coordinates \( (-5, 1) \).

1. Horizontal Translation:

   • To translate horizontally by \(-4\), we subtract \(4\) from the \(x\)-coordinate of point \( C \): \[ -5 - 4 = -9 \]

2. Vertical Translation:

   • To translate vertically by \(+3\), we add \(3\) to the \(y\)-coordinate of point \( C \): \[ 1 + 3 = 4 \]

Now we can combine these results to find the new coordinates of \( C' \): \[ C' = (-9, 4) \]

Thus, the coordinates of \( C' \) after the translation are \(\boxed{(-9, 4)}\).