Answer:
a) Center of dilation (0,0)
b) Scale factor = 2
Step-by-step explanation:
Dilation of Polygons
The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).
The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).
Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.
Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)
Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)
Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)
a)
The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).
b)
The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2
