Answer:
[tex]A' =(3,18)[/tex]
[tex]B' =(15,12)[/tex]
[tex]C' =(9,3)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,6)[/tex]
[tex]B = (5,4)[/tex]
[tex]C = (3,1)[/tex]
[tex]k = 3[/tex] --- scale factor
Required
The new vertices
To do this, we simply multiply ABC by the scale factor.
So, we have:
[tex]A' = A * k\\B' = B * k\\C' = C * k[/tex]
[tex]A' =(1,6) * 3[/tex]
[tex]A' =(3,18)[/tex]
[tex]B =(5,4) * 3[/tex]
[tex]B' =(15,12)[/tex]
[tex]C' =(3,1) * 3[/tex]
[tex]C' =(9,3)[/tex]