Question

Use the coordinates to answer the 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 \(\boxed{(-9, 4)}\).