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.

Hi! So in this you use the Pythagorean Theorem. In triangle CBD, you would do 6^2 + 4.2 ^2 = y ^2. You take the square root of that answer to get the dumber. Then, you would have 2 sides for triangle CAD, so you could just do it again, getting the answer for X. I hope that helps. I don’t know if that is how you are learning it or not, but that is a way to solve.