Question

randy draws triangle abc on the coordinate plane with vertices a(7, -4), b(10, 3), and c(6, 1). he then translates the figure so the coordinates of the image are a(5, 1), b(8, 8), and c(4, 6). what rule did he use to draw the image?
○ (t_{-5,2}(x,y))
○ (t_{-2,5}(x,y))
○ (t_{2,-5}(x,y))
○ (t_{5,-2}(x,y))

Explanation:

Step1: Find x - translation

For point A, $x$ - coordinate of A is 7 and of A' is 5. The change in $x$ - coordinate is $5 - 7=-2$.

Step2: Find y - translation

For point A, $y$ - coordinate of A is - 4 and of A' is 1. The change in $y$ - coordinate is $1-(-4)=5$.

Answer:

B. $T_{-2,5}(x,y)$