Translate the line segment with endpoints (0, 0)

Question

(
0
,

0
)
and (5, 4)
(
5
,

4
)
up 3 units and left 2 units. What are the new endpoints?(1 point)
The new endpoint for (0, 0)
(
0
,

0
)
is: ().
The new endpoint for (5, 4)
(
5
,

4
)
is: ().

Answer 1

To translate the line segment, we will adjust the coordinates of each endpoint according to the given translation: up 3 units and left 2 units.

1. For the endpoint (0, 0):

   • Moving up 3 units: \(0 + 3 = 3\)
   • Moving left 2 units: \(0 - 2 = -2\)
   • New endpoint: \((-2, 3)\)

2. For the endpoint (5, 4):

   • Moving up 3 units: \(4 + 3 = 7\)
   • Moving left 2 units: \(5 - 2 = 3\)
   • New endpoint: \((3, 7)\)

So, the new endpoints are:

• The new endpoint for (0, 0) is: \((-2, 3)\).
• The new endpoint for (5, 4) is: \((3, 7)\).