Question 1138894
Graph the image of triangle RST after a dilation factor of {{{1/3}}}, centered at the center. 
R ({{{-6}}},{{{9}}})
 S ({{{9}}},{{{9}}}) 
T ({{{-7}}},{{{-6}}}) 


Dilations are enlargements (or reductions)!!

Dilation with scale factor {{{1/3}}}, multiply by {{{1/3}}}.
({{{x}}}, {{{y}}}) → ({{{(1/3)x}}}, {{{(1/3)}}} )

R[1] ({{{(1/3)(-6)}}},{{{(1/3)9}}})
 S[1]  ({{{(1/3)9}}},{{{(1/3)9}}}) 
T[1]  ({{{(1/3)(-7)}}},{{{(1/3)(-6)}}}) 

=>
R[1] ({{{-2}}},{{{3}}})
 S[1]  ({{{3}}},{{{3}}}) 
T[1]  ({{{-7/3}}},{{{-2}}}) 


{{{drawing ( 600, 600, -15, 15, -15, 15,
circle(-6,9,.12),locate(-6,9,R(-6,9)),
circle(9,9,.12),locate(9,9,S(9,9)),
circle(-7,-6,.12),locate(-7,-6,T(-7,-6)),
line(-6,9,9,9),line(-6,9,-7,-6),line(-7,-6,9,9),


circle(-2,3,.12),locate(-2,3,R1(-2,3)),
circle(3,3,.12),locate(3,3,S1(3,3)),
circle(-7/3,-2,.12),locate(-7/3,-2,1T(-7/3,-2)),
green(line(-2,3,3,3)),green(line(-2,3,-7/3,-2)),green(line(-7/3,-2,3,3)),
graph( 600, 600, -15, 15, -15, 15, 0)) }}}