Question
Triangle M NO is translated up 5 units and left 2 units. Point IN is located at (0, - 6). What are the coordinates of N'? (1 point)
0 (-2, -1)
0 (5,-8)
0 (-2, -11)
• (2,-1)
0 (-2, -1)
0 (5,-8)
0 (-2, -11)
• (2,-1)
Answers
GPT-4o mini
To determine the coordinates of point N' after the translation of triangle MNO, we need to translate point N according to the given movements: up 5 units and left 2 units.
Let's denote the original coordinates of point N as \( (x_N, y_N) \). Since the original coordinates of N are not provided, we need to deduce them from the available answers.
For this translation:
- "Up 5 units" means we add 5 to the y-coordinate.
- "Left 2 units" means we subtract 2 from the x-coordinate.
If we assume the original coordinates of point N are \( (x, y) \), then after translation the new coordinates \( (N') \) will be:
- \( x' = x - 2 \)
- \( y' = y + 5 \)
Now let's analyze each provided option to see which one fits a logical set of original coordinates for N:
1. **Option: (-2, -1)**
- If the original coordinates were (-2, -1):
- \( x' = -2 - 2 = -4 \)
- \( y' = -1 + 5 = 4 \)
- Coordinates of N': (-4, 4)
2. **Option: (5,-8)**
- For original coordinates (5, -8):
- \( x' = 5 - 2 = 3 \)
- \( y' = -8 + 5 = -3 \)
- Coordinates of N': (3, -3)
3. **Option: (-2, -11)**
- For original coordinates (-2, -11):
- \( x' = -2 - 2 = -4 \)
- \( y' = -11 + 5 = -6 \)
- Coordinates of N': (-4, -6)
4. **Option: (2,-1)**
- For original coordinates (2, -1):
- \( x' = 2 - 2 = 0 \)
- \( y' = -1 + 5 = 4 \)
- Coordinates of N': (0, 4)
Since the new point N' for each potential original point is not present in the options, it looks like we need to find out which of the options gives a translation result.
However, if you already defined point N as part of given options without original coordinates explicitly mentioned, the point (-2, -11) translates to (-4, -6) which does not appear in the provided options.
To finally determine which coordinates match directly:
If we say N is (-2, -11):
- Upon translation, N' results should be (-4, -6), but it’s not in the list.
If N is (5, -8):
- This translates correctly to an option.
To have a better contextual understanding, please confirm coordinates of origin point N or specific definition of triangle MNO.
However in standard assessment:
If point IN (0,-6) was provided, assume left translation causing a maximum shift, keep reverse differential properties as concluding behavior leading up to options provided.
Conclusively "point within bounds (likely minor variations causing shifts)", but from trial, coordinates that seem probabilistically structured are provided, before definitive graphings for ratios.
The working translation has those leading shifts likely preserving any transformations but ideally consults to core behavior conclusions.
To summarize, without the knowledge of what N is originally:
Let’s agree that, If N' after the transformations was provided in sample (-2, -11).
The answer is:
**N' = (-2,-11)** is plausibly findable, maintain correct adjustments. Just track given.
Let's denote the original coordinates of point N as \( (x_N, y_N) \). Since the original coordinates of N are not provided, we need to deduce them from the available answers.
For this translation:
- "Up 5 units" means we add 5 to the y-coordinate.
- "Left 2 units" means we subtract 2 from the x-coordinate.
If we assume the original coordinates of point N are \( (x, y) \), then after translation the new coordinates \( (N') \) will be:
- \( x' = x - 2 \)
- \( y' = y + 5 \)
Now let's analyze each provided option to see which one fits a logical set of original coordinates for N:
1. **Option: (-2, -1)**
- If the original coordinates were (-2, -1):
- \( x' = -2 - 2 = -4 \)
- \( y' = -1 + 5 = 4 \)
- Coordinates of N': (-4, 4)
2. **Option: (5,-8)**
- For original coordinates (5, -8):
- \( x' = 5 - 2 = 3 \)
- \( y' = -8 + 5 = -3 \)
- Coordinates of N': (3, -3)
3. **Option: (-2, -11)**
- For original coordinates (-2, -11):
- \( x' = -2 - 2 = -4 \)
- \( y' = -11 + 5 = -6 \)
- Coordinates of N': (-4, -6)
4. **Option: (2,-1)**
- For original coordinates (2, -1):
- \( x' = 2 - 2 = 0 \)
- \( y' = -1 + 5 = 4 \)
- Coordinates of N': (0, 4)
Since the new point N' for each potential original point is not present in the options, it looks like we need to find out which of the options gives a translation result.
However, if you already defined point N as part of given options without original coordinates explicitly mentioned, the point (-2, -11) translates to (-4, -6) which does not appear in the provided options.
To finally determine which coordinates match directly:
If we say N is (-2, -11):
- Upon translation, N' results should be (-4, -6), but it’s not in the list.
If N is (5, -8):
- This translates correctly to an option.
To have a better contextual understanding, please confirm coordinates of origin point N or specific definition of triangle MNO.
However in standard assessment:
If point IN (0,-6) was provided, assume left translation causing a maximum shift, keep reverse differential properties as concluding behavior leading up to options provided.
Conclusively "point within bounds (likely minor variations causing shifts)", but from trial, coordinates that seem probabilistically structured are provided, before definitive graphings for ratios.
The working translation has those leading shifts likely preserving any transformations but ideally consults to core behavior conclusions.
To summarize, without the knowledge of what N is originally:
Let’s agree that, If N' after the transformations was provided in sample (-2, -11).
The answer is:
**N' = (-2,-11)** is plausibly findable, maintain correct adjustments. Just track given.