SOLUTION: The dashed triangle is the image of the solid triangle for a dilation with center at the origin. What is the scale factor? http://prntscr.com/r7incc a. 2/3 b. 3 c. 3/2 d.

Algebra ->  Triangles -> SOLUTION: The dashed triangle is the image of the solid triangle for a dilation with center at the origin. What is the scale factor? http://prntscr.com/r7incc a. 2/3 b. 3 c. 3/2 d.      Log On


   

Question 1152983: The dashed triangle is the image of the solid triangle for a dilation with center at the origin. What is the scale factor?
http://prntscr.com/r7incc
a. 2/3
b. 3
c. 3/2
d. 1/3
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

two triangles are similar, so corresponding sides are proportional
take a look at bases:
the length of the base of greater triangle is the distance from -9 to 9=> the length is 18
the length of the base of smaller image is the distance from -8 to 2=> the length is 6
so, the base of greater triangle to the base of smaller image is 18%2F6=3
The scale factor is3
answer: b. 3