Question
A quadrilateral with vertices A(-7, 2), B (-3, 2), C(-3, 5), and
D(-7, 5) is translated 4 units to the right and 2 units down.
What is the ordered pair of point C'?
D(-7, 5) is translated 4 units to the right and 2 units down.
What is the ordered pair of point C'?
Answers
GPT-4o mini
To translate the point \( C(-3, 5) \) 4 units to the right and 2 units down, we can follow these steps:
1. **Translate 4 units to the right**: This means we will add 4 to the x-coordinate.
\[
x' = -3 + 4 = 1
\]
2. **Translate 2 units down**: This means we will subtract 2 from the y-coordinate.
\[
y' = 5 - 2 = 3
\]
So, after the translation, point \( C' \) will be at the coordinates \( (1, 3) \).
Therefore, the ordered pair of point \( C' \) is:
\[
\boxed{(1, 3)}
\]
1. **Translate 4 units to the right**: This means we will add 4 to the x-coordinate.
\[
x' = -3 + 4 = 1
\]
2. **Translate 2 units down**: This means we will subtract 2 from the y-coordinate.
\[
y' = 5 - 2 = 3
\]
So, after the translation, point \( C' \) will be at the coordinates \( (1, 3) \).
Therefore, the ordered pair of point \( C' \) is:
\[
\boxed{(1, 3)}
\]