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: Analyze x - coordinate change

For point A: $7 - 5=2$, for point B: $10 - 8 = 2$, for point C: $6 - 4=2$. The x - coordinates of the original points are decreased by 2.

Step2: Analyze y - coordinate change

For point A: $1-(-4)=5$, for point B: $8 - 3=5$, for point C: $6 - 1=5$. The y - coordinates of the original points are increased by 5.

Answer:

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