Question

the question is in the picture! no, this is not a test, it's a worksheet:)

Answer 1

The translation is (x+5,y-6).

Given:

The triangle ABC is translated to triangle A'B'C'.

The objective is to find the rule for the translation.

Consider the coordinate of point A and A'.

$\begin{gathered} A(-4,5) \\ A^{\prime}(1,-1) \end{gathered}$

The translation unit in horizontal direction can be identified as,

$\begin{gathered} \text{RIght or Left=Final position in x ax}is-Initial\text{ position in x ax}is. \\ Right\text{ or Left=1-(-4)} \\ =1+4 \\ =5 \end{gathered}$

The translation unit in vertical direction can be identified as,

$\begin{gathered} Up\text{ or down = Final position in y ax}is-Initial\text{ position in y ax}is \\ Up\text{ or down==-1-5} \\ =-6 \end{gathered}$

Hence, the rule of translation is (x+5,y-6)