The points after Dilation are (0,0), (9,-3), and (9,9).
Step-by-step explanation:
The given points are A(0,0), B(3,-1), and C(3,3).
The scale factor is 3.
[tex]D_{new}[/tex]([tex]p_{x} , p_{y}[/tex]) = scale factor × ([tex]p_{x} , p_{y}[/tex]) .
If the triangle starts form the origin (0,0) retains the same after the dilation.
[tex]D_{Anew}(p_{x} , p_{y})[/tex]= (0,0).
For point B(-1,3),
[tex]D_{Bnew}(p_{x} , p_{y})[/tex] = 3 × (3,-1).
[tex]D_{Bnew}(p_{x} , p_{y})[/tex] = (9,-3).
For Point C(3,3),
[tex]D_{Cnew}(p_{x} , p_{y})[/tex] = 3 × ( 3,3).
[tex]D_{Cnew}(p_{x} , p_{y})[/tex] = ( 9,9).
Refer the graph for dilated triangle.
