Question

What’s the scale factor

Answer 1

(5) 3

(6)
`(1)/(3)`

Explanation:

For both of these, we can pick a straight corresponding side and find the length of this side for both shapes. We can use any side with the distance formula, but with the way this graph is finding a straight side that we can just count is easier

Then, we can find the scale factor.

(5)

The original shape (DEF) as side DE as 3 units long while the scaled shape (D'E'F') has D'E as 9 units long. This gives us a scale factor of 3:9 which simplifies to 3 since it is growing larger by 3.

(6)

The original shape (GHI) has side GH as 9 units long while the scaled shape (G'H'I') has side G'H' as 3 units long. This gives us a scale factor of 9:3 which simplifies to
`(1)/(3)` since it's shrinking by 3.