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?

answer: the triangle abc translated 2 units left and 5 units upward. te translation rule is t-2,5(x,y).

explanation:

it is given that randy draws triangle abc on the coordinate plane with vertices a(7, –4), b(10, 3), and c(6, 1). after translation the coordinates of the image are a′(5, 1), b′(8, 8), and c′(4, 6).

in the translation the position of a figure charges without making any in size and shape.

let the triangle shifts by the rule ta,b(x,y), where a is horizontal shift and b is vertical shift then,

since a(7,-4) and a'(5,1), therefore,

compare the coordinates.

a=-2

b=5

so the translation rule is t-2,5(x,y).