Answer:
a. The center of dilation is (0,0).
b. The scale factor of the dilation is 2.
Step-by-step explanation:
If the rule of dilation is
[tex](x,y)\rightarrow (kx,ky)[/tex] ... (1)
then the center of dilation is origin and scale factor is k.
From the given graph it is clear that the vertices of triangle ABC are A(-2,2), B(4,2) and C(-2,-2).
The vertices of triangle A'B'C' are A'(-4,4), B'(8,4) and C'(-4,-4).
The relation between preimage and image is defined as
[tex](x,y)\rightarrow (2x,2y)[/tex] .... (2)
It means center of dilation is (0,0).
On comparing (1) and (2), we get
[tex]k=2[/tex]
Therefore, the scale factor of the dilation is 2.
