Question

1. translate the rectangle rust r(2,1) u(6,1) s(6,4) t(2,4) (x,y)→(x - 3, y - 4) label the diagrams

Explanation:

Step1: Translate point R

For point R(2,1), using the rule (x,y)→(x - 3,y - 4), we substitute x = 2 and y = 1. So, x-3=2 - 3=-1 and y - 4=1 - 4=-3. The new - point is R'(-1,-3).

Step2: Translate point U

For point U(6,1), substitute x = 6 and y = 1 into the rule. x-3=6 - 3=3 and y - 4=1 - 4=-3. The new - point is U'(3,-3).

Step3: Translate point S

For point S(6,4), substitute x = 6 and y = 4 into the rule. x-3=6 - 3=3 and y - 4=4 - 4=0. The new - point is S'(3,0).

Step4: Translate point T

For point T(2,4), substitute x = 2 and y = 4 into the rule. x-3=2 - 3=-1 and y - 4=4 - 4=0. The new - point is T'(-1,0).

Answer:

The new coordinates of the rectangle are R'(-1,-3), U'(3,-3), S'(3,0), T'(-1,0)