Question
Translations and Reflections Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Translate the line segment with endpoints (0, 0)
and (5, 4)
up 3 units and left 2 units. What are the new endpoints?(1 point)
The new endpoint for (0, 0)
is: (
).
The new endpoint for (5, 4)
is: (
).
Remaining Attempts : 3
Answers
GPT-4o mini
To translate the given line segment with endpoints \((0, 0)\) and \((5, 4)\) up 3 units and left 2 units, we can follow these steps for each endpoint:
1. **Translate up 3 units**: This means we add 3 to the y-coordinate.
2. **Translate left 2 units**: This means we subtract 2 from the x-coordinate.
Now let's apply these transformations to each endpoint.
- For the first endpoint \((0, 0)\):
- New x-coordinate: \(0 - 2 = -2\)
- New y-coordinate: \(0 + 3 = 3\)
- New endpoint: \((-2, 3)\)
- For the second endpoint \((5, 4)\):
- New x-coordinate: \(5 - 2 = 3\)
- New y-coordinate: \(4 + 3 = 7\)
- New endpoint: \((3, 7)\)
Therefore, the new endpoints after the translation are:
The new endpoint for \((0, 0)\) is: \((-2, 3)\).
The new endpoint for \((5, 4)\) is: \((3, 7)\).
1. **Translate up 3 units**: This means we add 3 to the y-coordinate.
2. **Translate left 2 units**: This means we subtract 2 from the x-coordinate.
Now let's apply these transformations to each endpoint.
- For the first endpoint \((0, 0)\):
- New x-coordinate: \(0 - 2 = -2\)
- New y-coordinate: \(0 + 3 = 3\)
- New endpoint: \((-2, 3)\)
- For the second endpoint \((5, 4)\):
- New x-coordinate: \(5 - 2 = 3\)
- New y-coordinate: \(4 + 3 = 7\)
- New endpoint: \((3, 7)\)
Therefore, the new endpoints after the translation are:
The new endpoint for \((0, 0)\) is: \((-2, 3)\).
The new endpoint for \((5, 4)\) is: \((3, 7)\).