If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =
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If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =  1.

Step-by-step explanation:

Since in a dilation, the corresponding the sides of the pre-image and  sides of the image are proportional.

Such that , ...........(1)

Let ΔABC is dilated to ΔA'B'C' such that AB≅A'B', BC≅B'C' and AC≅B'C'.

Then .......(2)

From (1) and (2),  

Therefore, If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =  1.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2