Respuesta :

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

Hope it helps!

Answer:

[tex]scale\ factor=1[/tex]

Step-by-step explanation:

we know that

The scale factor is the ratio of the corresponding sides of the pre-image and the image

so

[tex]scale\ factor=\frac{image}{pre-image}[/tex] ------> equation A

In this problem

If an image of a triangle is congruent to the pre-image

[tex]image=pre-image[/tex] ------> equation B

substitute equation B in equation A

[tex]scale\ factor=\frac{pre-image}{pre-image}[/tex]

[tex]scale\ factor=1[/tex]