Question

ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1). Find the coordinates of O' and Y' under this translation. (6 points) O' (−2, −2); Y' (0, 0) O' (−1, −1); Y' (1, 1) O' (0, 0); Y' (−2, −2) O' (1, 1); Y' (−1, 0)

Answer 1

O'(-2,-2) and U'(0,0).

Explanation:

ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3).

It is given that a translation maps point T to T' (−1, 1).

The x-coordinate increased by 2 and y-coordinate decreased by 3. So, the rule of translation is

`(x,y)\rightarrow (x+2,y-3)`

The coordinates of O' and Y' under this translation.

`O(-4,1)\rightarrow O'(-4+2,1-3)=O'(-2,-2)`

`Y(-2,3)\rightarrow Y'(-2+2,3-3)=U'(0,0)`

Therefore, the coordinates of O' and Y' under this translation are O'(-2,-2) and U'(0,0).