Answer:
Step-by-step explanation:
From the given figure:
Coordinates of Pre-image triangle ABC are:
A (0, 5), B(-5, 0) and C(5, -5)
and
Coordinate of image triangle A'B'C' are;
A'(0, 2), B'(-2, 0) and C'(2, -2)
The rule of dilation with scale factor k and centered at the origin is given by;
(x,y) ---> (kx,ky)
To find k;
A'(0, 2) = A'(0, 5k)
Comparing both sides we get;
5k = 2
k=2/5
Therefore, the correct scale factor is 2/5
He did mistakes in transformations i.e a huge mistake mathematically.