SOLUTION: Line r’ is the dilation of line r. Find the scale factor, k ,of the dilation if the origin is the center of the dilation. http://prntscr.com/r7iwkw a. k = 1.5 b. k = 4 c.

Algebra ->  Points-lines-and-rays -> SOLUTION: Line r’ is the dilation of line r. Find the scale factor, k ,of the dilation if the origin is the center of the dilation. http://prntscr.com/r7iwkw a. k = 1.5 b. k = 4 c.      Log On


   



Question 1152987: Line r’ is the dilation of line r. Find the scale factor, k ,of the dilation if the origin is the center of the dilation.
http://prntscr.com/r7iwkw
a. k = 1.5
b. k = 4
c. k = 3
d. k = 0

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
When a figure is dilated, a segment (side) of the pre-image that does not pass through the center of dilation will be parallel to its image.
center of dilation:(0,0)
point on line r is:(0,1)
point on line r’ is:(0,4)
so, (0%2Ak,1%2Ak)=(0%2A4,1%2A4)=(0,4)=>the scale factor is k=4

answer:b. k=4