In the diagram below, triangle rst is the image of triangle map after a dilation of scale factor k with center e. which ratio is equal to scale factor k of dilation?

use the photo and explain how you got the answer step by step,

The scale factor is equal to 2

Step-by-step explanation:

we know that

Triangle RST is the image of Triangle MAP after a dilation

That means

The dilation is an enlargement

Remember that

The dilation is a non-rigid transformation that produces similar figures

When two figures are similar, the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

Find the length of the segment TR and PM

the formula to calculate the distance between two points is equal to

step 1

Find the distance TR

we have

T(-11,8) and R(-9,0)

substitute in the formula

step 2

Find the distance PM

we have

P(-5,4) and M(-4,0)

substitute in the formula

step 3

Find the scale factor

we have

substitute

therefore

The scale factor is equal to 2

-2 is the right

it is 570

step-by-step explanation: