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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

Triangle FGH is rotated and then dilated by a scale factor of n to form triangle FGH If FGH FGH what is the value of n class=

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akposevictor

Answer:

B. [tex] n = \frac{1}{3} [/tex]

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,

[tex] n = \frac{5}{15} [/tex]

[tex] n = \frac{1}{3} [/tex]

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

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