Respuesta :
The coordinates of vertex A', vertex B' and vertex C' are (-8, 4) , (-12, 12) and (-4, 12) respectively.
Explanation
According to the given diagram of triangle ABC, the co ordinates of the vertices are: [tex]A=(-2,1), B=(-3,3)[/tex] and [tex]C= (-1,3)[/tex]
If triangle ABC is dilated by a scale factor of 4 to form triangle A'B'C' , then we need to multiply each co ordinate by the scale factor of 4.
So, the co ordinate of A' will be: [tex](-2*4, 1*4)=(-8,4)[/tex]
the co ordinate of B' will be: [tex](-3*4, 3*4)=(-12,12)[/tex] and
the co ordinate of C' will be: [tex](-1*4, 3*4)=(-4,12)[/tex]