Question

Translate the line segment with endpoints (0, 0) and (5, 4) up 3 units and left 2 units. What are the new endpoints? The new endpoint for (0, 0) is: (). The new endpoint for (5, 4) is: ().

Answer 1

To translate the line segment, we will adjust both endpoints according to the given translation: up 3 units and left 2 units.

1. For the first endpoint (0, 0):
- Moving up 3 units means we add 3 to the y-coordinate: \(0 + 3 = 3\).
- Moving left 2 units means we subtract 2 from the x-coordinate: \(0 - 2 = -2\).
- Therefore, the new endpoint for (0, 0) is: \((-2, 3)\).

2. For the second endpoint (5, 4):
- Moving up 3 units means we add 3 to the y-coordinate: \(4 + 3 = 7\).
- Moving left 2 units means we subtract 2 from the x-coordinate: \(5 - 2 = 3\).
- Therefore, the new endpoint for (5, 4) is: \((3, 7)\).

To summarize, the new endpoints are:
- The new endpoint for (0, 0) is: \((-2, 3)\).
- The new endpoint for (5, 4) is: \((3, 7)\).