Question

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

(–4, 0)
(0, 4)
(0, 0)
(–2, 2)

Answer 1

A(-2,-2) --> A'(-2-2,-2+2) = A'(-4,0)

Answer 2

A'(-4, 0)

Explanation:

To translate the triangle using the rule (x, y) → (x - 2, y + 2), two should be subtracted from each x-coordinate, and two added to each y- coordinate:

A(-2, -2) → A'(-4, 0)

B(-2, -4) → B'(-4, -2)

C(2, -4) → C'(0, -2)

SO the coordinates of the translated point of A, A', is (-4, 0).