If triangle abc is defined by the coordinates a(3, 6), b(7, 6), c(7, 3) is dilated by a scale factor of 3, with resulting vertex a' at (9, 18). what is the center of the dilation? a) (0, 0) b) (3, 6) eliminate c) (9, 18) d) (6, 12)

Explanation:

A = (3,6)

A ' = (9, 18)

Each coordinate has been multiplied by the same value, in this case 3

3*3 = 9

6*3 = 18

Because (x,y) turned into (3x, 3y), this means we dilated with the origin as the center of dilation. The origin is a special name for the point (0,0). This is where the x and y axis meet.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)