Question

Translations and reflections practice
Translate the line segment with end points 0,0 and 5,4up 3 units and left 2 units what are the new endpoints

Answer 1

To translate the line segment with endpoints \( (0, 0) \) and \( (5, 4) \) up 3 units and left 2 units, we will adjust the coordinates of both endpoints accordingly.

1. **Translate Up 3 Units:**
- For endpoint \( (0, 0) \):
\[
(0, 0) \to (0, 0 + 3) = (0, 3)
\]
- For endpoint \( (5, 4) \):
\[
(5, 4) \to (5, 4 + 3) = (5, 7)
\]

2. **Translate Left 2 Units:**
- For endpoint \( (0, 3) \):
\[
(0, 3) \to (0 - 2, 3) = (-2, 3)
\]
- For endpoint \( (5, 7) \):
\[
(5, 7) \to (5 - 2, 7) = (3, 7)
\]

So, the new endpoints after the translation are:
- New endpoint 1: \( (-2, 3) \)
- New endpoint 2: \( (3, 7) \)

Therefore, the new endpoints of the line segment are \( (-2, 3) \) and \( (3, 7) \).