Segment ab is dilated from the origin to create segment a prime b prime at a' (0, 8) and b' (8, 12). what scale factor was segment ab dilated by?
1/2
2
3
4

4

step-by-step explanation:

a   is (0,2) and b   is (2,3).

a' is (0,8) and b' is (8,12).

now we need to figure out what a is being multiplied by to get a'.

it must also work from b to b' as well.

so we are looking for a number k such that all of the following are true:

a to a':

0k=0

2k=8

b to b':

2k=8

3k=12

all of these are suppose to result in the same k if this is truly a dilation with the center as the origin.

the first equation could be any k.

the second equation gives us k=8/2=4.

the third equation gives us k=8/2=4.

the fourth equation gives us k=12/3=4.

so k does satisfy all of these and we couldn't have just figured that out from the first equation because of the 0 to 0 thing.

5

step-by-step explanation: