Translating a rectangle involves moving the rectangle.
The coordinate of the image of rectangle QRST is: [tex]\mathbf{Q' = (-1, 6)}[/tex] [tex]\mathbf{R' = (2, 8)}[/tex] [tex]\mathbf{S' = (6, 2)}[/tex] [tex]\mathbf{T' = (3, 0)}[/tex]
The coordinate points of rectangle QRST are given as:
[tex]\mathbf{Q = (-6,-1)}[/tex]
[tex]\mathbf{R = (-3,1)}[/tex]
[tex]\mathbf{S = (1,-5)}[/tex]
[tex]\mathbf{T = (-2,-7)}[/tex]
The translation rule is given as:
[tex]\mathbf{(x,y) \to (x + 5, y + 7)}[/tex]
Apply the above translation rule on point Q
[tex]\mathbf{Q' = (-6 + 5, -1 + 7)}[/tex]
[tex]\mathbf{Q' = (-1, 6)}[/tex]
Apply the above translation rule on point R
[tex]\mathbf{R' = (-3 + 5, 1 + 7)}[/tex]
[tex]\mathbf{R' = (2, 8)}[/tex]
Apply the above translation rule on point S
[tex]\mathbf{S' = (1+5, -5+7)}[/tex]
[tex]\mathbf{S' = (6, 2)}[/tex]
Apply the above translation rule on point T
[tex]\mathbf{T' = (-2 + 5, -7 + 7)}[/tex]
[tex]\mathbf{T' = (3, 0)}[/tex]
Hence, the coordinate of the image of the rectangle is:
[tex]\mathbf{Q' = (-1, 6)}[/tex] [tex]\mathbf{R' = (2, 8)}[/tex] [tex]\mathbf{S' = (6, 2)}[/tex] [tex]\mathbf{T' = (3, 0)}[/tex]
Read more about translations at:
https://brainly.com/question/12463306
