The coordinates of △abc△abc are a(12,8), b(10,18), c(4,16)a(12,8), b(10,18), c(4,16). after a dilation, the coordinates are a'(6,4), b'(5,9), c'(2,8)a′(6,4), b′(5,9), c′(2,8). find the scale factor.

Step-by-step explanation:

The dilation is a transformation which makes similar shapes.

We know that In two similar geometric figures, the ratio of their corresponding corresponding x-coordinate is known as the scale factor.

For the given situation, the x-coordinate of A in pre-image = 12

The x-coordinate of A' in image = 6

Then , the scale factor for the dilation is given by :-

Hence, the scale factor =

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: