Question

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

Answer 1

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 2

Answer:

$scale\ factor=1$

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

$scale\ factor=\frac{image}{pre-image}$ ------> equation A

In this problem

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

$image=pre-image$ ------> equation B

substitute equation B in equation A

$scale\ factor=\frac{pre-image}{pre-image}$

$scale\ factor=1$