Respuesta :
Answer:
(9,12).
Step-by-step explanation:
If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as
[tex]P(x,y)=P'(kx,ky)[/tex]
It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,
[tex]P(x,y)=P'(3x,3y)[/tex]
We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.
[tex]P(3,4)=P'(3(3),3(4))[/tex]
[tex]P(3,4)=P'(9,12)[/tex]
Therefore, the image of a vertex located at (3, 4) is (9,12).
