Triangle FGH is rotated and then dilated by a scale factor of n to form triangle F’G’H’. If FGH F’G’H’ what is the value of n

B.

Step-by-step explanation:

If ∆FGH ~ ∆F'G'H', then their corresponding side lengths would be proportional. This means:

F'G'/FG = G'H'/GH = F'H'/FH = n

The ratio of any of their corresponding side lengths will give you the value of n.

Therefore:

n = F'G'/FG

F'G' = 5

FG = 15

Thus,

The scale factor which is a fraction implies that the size of ∆FGH was reduced after dilation.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.