The smaller triangle is a pre-image of the bigger triangle the center dilation is (1,-1) what is the scale factor used to create the dilation?
a. 4
b. -4
c. 6
d. 1/4

B. -4

Step-by-step explanation:

When dilation is not about the origin then in order to find the scalar factor, we need to find the ratio of the corresponding lengths.

2 Vertices of smaller triangle (Pre-image):

Length of side:

Since distance is always positive so its 2 units.

2 Vertices of bigger triangle(Image):

Length of side:

Since distance is always positive so its 8 units.

For the given figure we see that the dilated image is rotated 180° from the original position. Thus, for such dilation the scalar factor is taken negative.

Thus the scalar factor can be calculated as:

Scalar factor =

Scalar factor =-4

it's

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: