Question

Each figure shows a pair of similar triangles, one contained in the other.

Answer 1

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

$AC =18cm$

$AC' =3cm$

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

$k = \frac{AC'}{AC}$

This gives

$k = \frac{3cm}{18cm}$

Remove the common units

$k = \frac{3}{18}$

Reduce fraction

$k = \frac 16$

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

brainly.com/question/3457976