Question
Rectangle MNPQ is translated 4 units left and 3 units up. Which rule best describes this transformation?
(x,y)---> (x + 3, y - 4)
(x,y)---> (x - 4, y + 3)
(x,y)****> (x + 4, y + 3)
(x,y)*...> (4x * 3y)
(x,y)---> (x + 3, y - 4)
(x,y)---> (x - 4, y + 3)
(x,y)****> (x + 4, y + 3)
(x,y)*...> (4x * 3y)
Answers
GPT-4o mini
To determine the correct transformation rule for rectangle MNPQ when it is translated 4 units left and 3 units up, let's break down the translation.
1. **Translation 4 units left**: This means we subtract 4 from the x-coordinate. So, if we start with a point (x, y), the new x-coordinate would be \( x - 4 \).
2. **Translation 3 units up**: This means we add 3 to the y-coordinate. Thus, the new y-coordinate would be \( y + 3 \).
Putting these together, the transformation can be expressed as:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
Now, we can compare this with the options given:
1. (x,y) → (x + 3, y - 4)
2. (x,y) → (x - 4, y + 3)
3. (x,y) → (x + 4, y + 3)
4. (x,y) → (4x * 3y)
The correct rule that best describes this transformation is:
**(x,y) → (x - 4, y + 3)**
So, the answer is the second option: **(x,y) → (x - 4, y + 3)**.
1. **Translation 4 units left**: This means we subtract 4 from the x-coordinate. So, if we start with a point (x, y), the new x-coordinate would be \( x - 4 \).
2. **Translation 3 units up**: This means we add 3 to the y-coordinate. Thus, the new y-coordinate would be \( y + 3 \).
Putting these together, the transformation can be expressed as:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
Now, we can compare this with the options given:
1. (x,y) → (x + 3, y - 4)
2. (x,y) → (x - 4, y + 3)
3. (x,y) → (x + 4, y + 3)
4. (x,y) → (4x * 3y)
The correct rule that best describes this transformation is:
**(x,y) → (x - 4, y + 3)**
So, the answer is the second option: **(x,y) → (x - 4, y + 3)**.