Question

Find the translation rule and the scale factor of the dilation that transforms OW to OW′.

a) (x,y)−(x+6,y+6); scale factor = 2

b) (x,y)+(x+6,y+6); scale factor = 3

c) (x,y)−(x−6,y−6); scale factor = 2

d) (x,y)−(x−6,y−6); scale factor = 3

Answer 1

The translation rule is (x,y)+(x+6,y+6); scale factor = 3.

Step-by-step explanation:

The given translations and scale factors are:

a) (x,y)-(x+6,y+6); scale factor = 2

b) (x,y)+(x+6,y+6); scale factor = 3

c) (x,y)-(x-6,y-6); scale factor = 2

d) (x,y)-(x-6,y-6); scale factor = 3

To find the translation rule and scale factor that transform OW to OW', we can compare the changes in x and y coordinates. Looking at the options, we can see that option b) (x,y)+(x+6,y+6); scale factor = 3 is the correct translation rule and scale factor.