Question

The vertices of a rectangle are R(-5,-5), S(-1,-5), T(-1,-1) and U(-5,1). After a translation R' is the point (-11,-11). What are the coordinates of T'?(2 points)

Answer 1

Which of the following is the translation rule for the translation above?(1 point) Responses (x,y)→→(x+6, y-6) (x,y)right arrow(x+6, y-6) (x,y)→→(x+6, y+6) (x,y)right arrow(x+6, y+6) (x,y)→→(x-6, y-6) (x,y)right arrow(x-6, y-6) (x,y)→→(x-6, y+6)

Answer 2

To find the coordinates of T', we need to determine the vector between R and R' and apply that same translation vector to point T.

Translation vector between R and R':
Δx = -11 - (-5) = -6
Δy = -11 - (-5) = -6

Now we need to apply this translation vector to point T:
T'x = Tx + Δx = -1 - 6 = -7
T'y = Ty + Δy = -1 - 6 = -7

Therefore, the coordinates of T' are (-7, -7).

Answer 3

The correct translation rule for the given translation is:
(x,y) -> (x-6, y-6)

This translation rule involves subtracting 6 from both the x-coordinate and the y-coordinate.