Question

In the coordinate plane, the point A (1, -4) is translated to the point A'(-3, -5). Under the same translation, the points B (3, -1) and C(4, -7) are

translated to B' and C', respectively. What are the coordinates of B' and C'?

Answer 1

B' (- 1, - 2 ) , C' (0, - 8 )

Explanation:

A (1 , - 4 ) → A' (- 3, - 5 )

1 → - 3 in the x- direction means subtract 4 from the original x- coordinate

- 4 → - 5 in the y- direction means subtract 1 from the original y- coordinate

the translation rule is then

(x, y ) → (x - 4, y - 1 ) , then applying this

B (3, - 1 ) → B' (3 - 4, - 1 - 1 ) → B' (- 1, - 1 )

C (4, - 7 ) → C' (4 - 4, - 7 - 1 ) → C' (0, - 8 )