Question

Graph the points K(-2, -1), L(-1, 2), M(2, 4), and N(1,1) in desmos geometry. What is the distance from point M to point N?

Answer 1

Quadrilateral KLMN has vertices K(-2,-2), L(1,1), M(0,4), and N(-3,5)

It is first translated by (x + 2,y - 1)

then

K(-2,-2) ---> K'(-2 + 2,-2 - 1) = (0,-3)

L(1,1), ---> L'(1 + 2,1 - 1) = (3,0)

M(0,4), ---> M' (0 + 2,4 - 1) = (2,3)

and

N(-3,5) ---> N' (-3 + 2,5 - 1) = (-1,4)

and then translated by (x - 3,y + 4)

K'(0,-3) ---> K''(0 - 3,-3 + 4) = (-3,1)

L'(3,0) ---> L''(3 - 3,0 + 4)= (0,4)

M'(2,3)  ---> M'' (2 - 3, 3 + 4)= (-1,7)

and

N'(-1,4) ---> N'' (-1 - 3,4 + 4) = (-4,8)

the coordinates of K" L" M" N" after both translations are

K''= (-3,1)

L''= (0,4)

M''= (-1,7)

and

N'' = (-4,8)

hope im right if not im sorry but it going to be right cuz im good at this stuff for you