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) and then translated by (x - 3,y + 4). When a figure is translated twice, a double prime symbol is used. Find the coordinates of K" L" M" N" after both translations.
Question
Answer:
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)
solved
general
11 months ago
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