Answer:
see attached diagram
Step-by-step explanation:
A dilation with a scale factor of [tex]\dfrac{1}{3}[/tex] centered at the origin has a rule:
[tex](x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).[/tex]
Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates
- [tex]D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);[/tex]
- [tex]E\left(\dfrac{3}{3},\dfrac{9}{3}\right)\Rightarrow E(1,3);[/tex]
- [tex]F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).[/tex]
