Question

Δ DOG has coordinates D (3, 2), O (2, −4) and G (−1, −1). A translation maps point D to D' (2, 4). Find the coordinates of O' and G' under this translation.

Answer 1

O' (1, −2); G' (−2, 1)

Explanation:

Answer 2

`D(3;\ 2)\to D'(2;\ 4)\\\\\vec{a}=[2-3;\ 4-2]=[-1;\ 2]\\\\O(2;-4)\to O'(2-1;-4+2)\to O'(1;-2)\\\\G(-1;-1)\to G'(-1-1;-1+2)\to G'(-2;\ 1)\\\\\\Answer:\boxed{O'(1;-2)\ and\ G'(-2;\ 1)}`