Question

Figures R,S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is a scaled copy of S using a scale factor of 2

Answer 1

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