Question

GR has coordinates g (2, -2) and R (3,8) and it is the result of the

dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM

Answer 1

(- 2x , - 2y)

Explanation:

A(x, y) ----> A' (kx, ky)

~~~~~~~~

H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2

M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)

k = - 2

Thus, the rule of dilation centered in origin is (- 2x , - 2y)