the scale factor from T to S = 1/2
Explanation:
Let the coordinate of R = (x, y)
Figure S is a scaled copy of R using a scale factor of 3:
S = 3(x, y)
S = (3x, 3y)
Figure T is a scaled copy of S using a scale factor of 2:
S = (3x, 3y)
T = 2(3x, 3y)
T = (6x, 6y)
The scale factor from T to S:
from (6x, 6y) to (3x, 3y): old to new
x axis: new/ old = 3x/6x = 1/2
y axis: new/ old = 3y/6y = 1/2
1/2(6x, 6y) will give (3x, 3y)
Therefore, the scale factor from T to S = 1/2
