Answer:
the points are :
(0,-1)
(0,0)
(-1,3)
(If you are using MathsWatch) For this question the triangle gets smaller so i'm not sure why it says Enlarge the triangle.
The coordinates of the new triangle are (0,0), (-1,0) and (-1,-2)
The coordinate points of the triangle are given as: (-3,-1), (-5,-1) and (-5,5)
The scale factor (k) is given as: k = 0.5
The center of dilation is given as: (3,1)
The rule of dilation where the center of dilation is (3,1) is:
[tex]\mathbf{(x,y) \to (3 + k(x -3),1 + k(y -1))}[/tex]
So, we have:
[tex]\mathbf{(-3,-1) \to (3 + 0.5(-3 -3),1 + 0.5(-1 -1))}[/tex]
[tex]\mathbf{(-3,-1) \to (0,0)}[/tex]
[tex]\mathbf{(-5,-1) \to (3 + 0.5(-5 -3),1 + 0.5(-1 -1))}[/tex]
[tex]\mathbf{(-5,-1) \to (-1,0)}[/tex]
[tex]\mathbf{(-5,-5) \to (3 + 0.5(-5 -3),1 + 0.5(-5 -1))}[/tex]
[tex]\mathbf{(-5,-5) \to (-1,-2)}[/tex]
Hence, the coordinates of the new triangle are (0,0), (-1,0) and (-1,-2)
Read more about dilations at:
https://brainly.com/question/13176891
