Question
Rectangle "M" "N" "P" "Q"MNPQ is translated 4 units left and 3 units up. Which rule best describes this transformation?
Answers
GPT-4o mini
To describe the transformation of rectangle \( MNPQ \) by translating it 4 units left and 3 units up, you can use the following rule:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
This means that for each point \((x, y)\) of the rectangle:
- You subtract 4 from the x-coordinate (to move left).
- You add 3 to the y-coordinate (to move up).
Thus, the translation rule for the rectangle \( MNPQ \) after the specified transformation is:
**Translation rule:** \((x, y) \rightarrow (x - 4, y + 3)\)
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
This means that for each point \((x, y)\) of the rectangle:
- You subtract 4 from the x-coordinate (to move left).
- You add 3 to the y-coordinate (to move up).
Thus, the translation rule for the rectangle \( MNPQ \) after the specified transformation is:
**Translation rule:** \((x, y) \rightarrow (x - 4, y + 3)\)