Question 1169631

P({{{1}}},{{{5}}})  is mapped onto P′({{{3}}},{{{-3}}}) ->
({{{1+x}}},{{{5+y}}})= ({{{3}}},{{{-3}}})
{{{1+x=3}}}
{{{x=3-1}}}
{{{x=2}}}

{{{5+y=-3}}}
{{{y=-3-5}}}
{{{y=-8}}}

so, vector used in the translation is ({{{2}}},{{{-8}}})


check other vertices:

 Q({{{6}}},{{{7}}})  is mapped onto Q′({{{8}}},{{{-1}}}) 

({{{6+x}}},{{{7+y}}})= ({{{8}}},{{{-1}}})

{{{6+x=8}}}
{{{x=8-6}}}
{{{x=2}}}

{{{7+y=-1}}}
{{{y=-1-7}}}
{{{y=-8}}}


  R({{{4}}},{{{2}}}) is mapped onto R′({{{6}}},{{{-6}}}) 

({{{4+x}}},{{{2+y}}})= ({{{6}}},{{{-6}}})
{{{4+x=6}}}
{{{x=6-4}}}
{{{x=2}}}

{{{2+y=-6}}}
{{{y=-6-2}}}
{{{y=-8}}}


it's same

so,  vector used in the translation is ({{{2}}},{{{-8}}})