To perform a translation of the points $A(2, 0)$, $B(-1, 5)$, and $C(4, 3)$ along the vector $(0, 2)$, we simply add the vector to each of the points.

The translation vector $(0, 2)$ means we add 0 to the x-coordinate and 2 to the y-coordinate of each point.

Let's calculate the new coordinates:

1. Point A: $A'(2 + 0, 0 + 2) = A'(2, 2)$

2. Point B: $B'(-1 + 0, 5 + 2) = B'(-1, 7)$

3. Point C: $C'(4 + 0, 3 + 2) = C'(4, 5)$

Translated points:

• $A'(2, 2)$
• $B'(-1, 7)$
• $C'(4, 5)$

Would you like further details or have any questions?

Here are five related questions:

1. How do you find the coordinates after a translation along a general vector?
2. What is the geometric effect of translating along a vector?
3. How would the result change if the translation vector was $(-3, 1)$?
4. Can you perform a reflection after a translation?
5. How do you compose multiple translations?

Tip: When translating points, keep track of both the horizontal and vertical components of the vector for accurate results.