Q:

A triangle with coordinates A(1, 1), B(4, 2), C(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle

Accepted Solution

A:
Answer:[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]Step-by-step explanation:Given:[tex]A = (1,1)\\B=(4,2)\\C=(3,5)[/tex]A translation upward or downward affects the [tex]y[/tex] value of a coordinate while a translation left or right affects the [tex]x[/tex] value of a coordinate.We are translating the whole triangle down three units, so we subtract all the[tex]y[/tex] values by 3.We are also translating the whole triangle to left left five units, so we will subtract all the [tex]x[/tex] values by 5.[tex]A = (1-5,1-3)\\B=(4-5,2-3)\\C=(3-5,5-3)[/tex]New Coordinates:[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]