Question

For triangle PQR with vertices P(-3,-1), Q(0,-1), and R(-1,-3), find the coordinates of the vertices of the image after the translation (x,y); (x-5,y-7).

Answer 1

see explanation

Explanation:

given the translation rule

(x, y ) → (x - 5, y - 7 )

• x - 5 , means subtract 5 from the original x- coordinate

• y - 7 means subtract 7 from the original y- coordinate

Then

P (- 3, - 1 ) → P' (- 3 - 5, - 1 - 7 ) → P' (- 8, - 8 )

Q (0, - 1 ) → Q' (0 - 5, - 1 - 7 ) → Q' (- 5, - 8 )

R (- 1, - 3 ) → R' (- 1 - 5, - 3 - 7 ) → R' (- 6, - 10 )