The dash triangle is the image of the solid triangle. the center of dilation is (-4, -4).
what is the scale factor used to create the dilation
enter your answer as an integer or decimal in the box

The scale factor of dilation is -3

Step-by-step explanation:

* Lets revise the meaning of dilation

- A dilation is a transformation that produces an image that is the same

  shape as the original, but is a different size

- A dilation stretches or shrinks the original figure by a scale factor and

 center of dilation

- If the scale factor between 0 and 1, then the original figure shrinks

- If the scale factor greater than 1, then the original figure stretches

- If the scale factor is negative then the original figure is stretches or

 shrinks and rotate 180°

* Lets solve the problem

∵ The vertices of the original triangles are

   (-4 , -4) , (-4 , -7) , (-6 , -4)

∵ The vertices of the image triangles are

   (-4 , -4) , (-4 , 5) , (2 , -4)

∵ The length of one side of the original triangle is (-7) - (-4)  = 3 units

∵ The length of the corresponding side in the image triangle is

   (5) - (-4) = 9 units

∵ The image is in the opposite side of the center of dilation

- That means the original triangle rotate 180° around the center

  of dilation

∴ The scale factor is negative

∵ The ratio between the corresponding sides are 9/3 = 3

∴ The scale factor of dilation is -3

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

4.5%

step-by-step explanation: