Question

rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, -6). the rectangle is translated so that the coordinates of the image are a(-10, 1), b(-7, 1), c(-7, -3), and d(-10, -3). which rule was used to translate the image? t_{4, - 1}(x,y) t_{ - 4,1}(x,y) t_{4, - 3}(x,y) t_{ - 4,3}(x,y)

Explanation:

Step1: Find change in x - coordinate

For point A: $x$-coordinate of A is $- 6$ and of A' is $-10$. Change in $x$ is $-10-(-6)=-4$.

Step2: Find change in y - coordinate

For point A: $y$-coordinate of A is $-2$ and of A' is $1$. Change in $y$ is $1 - (-2)=3$.

Answer:

$T_{-4,3}(x,y)$