Question

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordinates of A prime?

On a coordinate plane, triangle A B C has points (negative 2, negative 2), (negative 2, negative 4), (2, negative 4).
(–4, 0)
(0, 4)
(0, 0)
(–2, 2)

Answer 1

To find the new coordinates of A' after translating point A, we first need to apply the given translation rule, which is (x, y) → (x - 2, y + 2).

The coordinates of point A are (-2, -2).

Now let's apply the translation rule:

1. For the x-coordinate:
\[
-2 - 2 = -4
\]

2. For the y-coordinate:
\[
-2 + 2 = 0
\]

Putting these together, the new coordinates of A' will be (-4, 0).

So the coordinates of A' are **(-4, 0)**.