Question
Gonzalo drew the triangle below.
If the triangle is translated 4 units down and 3 units to the right, what are the new coordinates of the vertices of the triangle?
A.(-4, 2), (-4, 0), (0, 3)
B.(-2, 7), (-1, 3), (-4, -1)
C.(-4, 2), (-4, 4), (0, 1)
D.(-1, -2), (3, -1), (-1, -4)
If the triangle is translated 4 units down and 3 units to the right, what are the new coordinates of the vertices of the triangle?
A.(-4, 2), (-4, 0), (0, 3)
B.(-2, 7), (-1, 3), (-4, -1)
C.(-4, 2), (-4, 4), (0, 1)
D.(-1, -2), (3, -1), (-1, -4)
Answers
GPT-4o mini
To translate the vertices of a triangle, you need to add the translation values to the original coordinates of each vertex. In this case, the triangle is being translated 4 units down and 3 units to the right.
1. **Translation down (y-coordinate)**: To translate down by 4 units, you subtract 4 from the y-coordinate of each vertex.
2. **Translation right (x-coordinate)**: To translate right by 3 units, you add 3 to the x-coordinate of each vertex.
Let’s denote the original vertices of the triangle as \((x, y)\).
After translation, the new coordinates \((x', y')\) will be:
- \(x' = x + 3\)
- \(y' = y - 4\)
Now, without the original coordinates given in the problem, we can't determine the exact new coordinates. However, we can use the options provided to make an educated guess based on the concept of translation.
Let's hypothetically examine the changes for a vertex as an example:
Assuming original coordinates \((x, y)\):
- After the translation 3 units right: \(x + 3\)
- After the translation 4 units down: \(y - 4\)
Looking through the options, evaluate each one to see if the coordinates can correspond to the transformation:
Let's analyze each option:
- **A**: (-4, 2), (-4, 0), (0, 3)
- **B**: (-2, 7), (-1, 3), (-4, -1)
- **C**: (-4, 2), (-4, 4), (0, 1)
- **D**: (-1, -2), (3, -1), (-1, -4)
We need to see if any vertex has been transformed correctly according to the translation applied.
From the options provided, without knowing the actual original coordinates, reviewing based on transformations gives hints, but unfortunately, without specific coordinates for the triangle originally, we can't definitively conclude the correct choice.
However, if we take **A** as a reference for further assumptions:
- Imagine the original vertex coordinates could have been at positions that would map under the transformation to yield the observations in the option provided.
Using the above method, you can work through and reverse-check which original coordinates could fit these transformations.
For a complete answer, please provide the original coordinates of the triangle. If they match with any evaluated options after the transformation, that would confirm the correct answer.
1. **Translation down (y-coordinate)**: To translate down by 4 units, you subtract 4 from the y-coordinate of each vertex.
2. **Translation right (x-coordinate)**: To translate right by 3 units, you add 3 to the x-coordinate of each vertex.
Let’s denote the original vertices of the triangle as \((x, y)\).
After translation, the new coordinates \((x', y')\) will be:
- \(x' = x + 3\)
- \(y' = y - 4\)
Now, without the original coordinates given in the problem, we can't determine the exact new coordinates. However, we can use the options provided to make an educated guess based on the concept of translation.
Let's hypothetically examine the changes for a vertex as an example:
Assuming original coordinates \((x, y)\):
- After the translation 3 units right: \(x + 3\)
- After the translation 4 units down: \(y - 4\)
Looking through the options, evaluate each one to see if the coordinates can correspond to the transformation:
Let's analyze each option:
- **A**: (-4, 2), (-4, 0), (0, 3)
- **B**: (-2, 7), (-1, 3), (-4, -1)
- **C**: (-4, 2), (-4, 4), (0, 1)
- **D**: (-1, -2), (3, -1), (-1, -4)
We need to see if any vertex has been transformed correctly according to the translation applied.
From the options provided, without knowing the actual original coordinates, reviewing based on transformations gives hints, but unfortunately, without specific coordinates for the triangle originally, we can't definitively conclude the correct choice.
However, if we take **A** as a reference for further assumptions:
- Imagine the original vertex coordinates could have been at positions that would map under the transformation to yield the observations in the option provided.
Using the above method, you can work through and reverse-check which original coordinates could fit these transformations.
For a complete answer, please provide the original coordinates of the triangle. If they match with any evaluated options after the transformation, that would confirm the correct answer.