Question 1183672

 how do you reflect △ {{{QRS}}} across the line {{{m}}} and then translate it along {{{v}}}

you can construct this quite easily on paper:

construct the perpendicular through{{{ Q }}}to {{{m }}}(let intersection point be {{{L}}}) 
measure  distance {{{ L}}} and  {{{ Q}}},  double the length of the perpendicular in the direction of {{{L}}}, the endpoint is {{{Q}}}′

do same for{{{ R}}} and {{{S}}}, and you will get △ {{{ Q}}}′{{{R}}}′{{{S}}}′


then from each vertices of the △  {{{ Q}}}′{{{R}}}′{{{S}}}′ draw a line segment (in same direction as given vector v) parallel and equal to vector {{{v}}}

so, that will translate the △  {{{ Q}}}′{{{R}}}′{{{S}}}′