Octagon abcdefgh and its dilation, octagon a'b'c'd'e'f'g'h', are shown on the coordinate plane below: octagon abcdefgh with ordered pairs at a at 3, 1, at b 3, negative 1, c 1, negative 3, d negative 1, negative 3, e negative 3, negative 1, f negative 3, 1, g negative 1, 3, h 1, 3. octagon a prime b prime c prime d prime e prime f prime g prime h prime with ordered pairs a prime 6, 2, at b prime 6, negative 2, at c prime 2, negative 6, at d prime negative 2, negative 6, at e prime negative 6, negative 2, at f prime negative 6, 2, at g prime negative 2, 6, at h prime 2, 6 if the center of dilation is at the origin, by what scale factor was octagon abcdefgh dilated? one half 2 4 one quarter

The correct option is 2. The scale factor of dilation is 2.

Step-by-step explanation:

It is given that Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H'.

The center of dilation is origin.

Let the scale factor is k.

If a figure dilated with scale factor k and center at origin, then

The coordinate of A are (3,1) and coordinates of A' are (6,2).

Since scale factor is k and center of dilation is origin, therefore

Therefore scale factor of dilation is 2. Second option is correct.

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: