Answer:
[tex]M' =(-1,7)[/tex]
[tex]N' =(-1,-4)[/tex]
[tex]O' =(-4,4)[/tex]
[tex]P' =(-4,7)[/tex]
Step-by-step explanation:
Given
[tex]M = (-7, 1)[/tex]
[tex]N = (4, 1)[/tex]
[tex]0 = (-4, 4)[/tex]
[tex]P = (-7, 4)[/tex]
Line: [tex]y = -x[/tex]
Required
The coordinates of M'N'O'P'
The rule for reflection over [tex]y=-x[/tex] is : [tex](x,y) \to (-y,-x)[/tex]
So, we have:
[tex]M = (-7, 1)[/tex] [tex]\to M' =(-1,7)[/tex]
[tex]N = (4, 1)[/tex] [tex]\to N' =(-1,-4)[/tex]
[tex]0 = (-4, 4)[/tex] [tex]\to O' =(-4,4)[/tex]
[tex]P = (-7, 4)[/tex] [tex]\to P' =(-4,7)[/tex]
So, the points are:
[tex]M' =(-1,7)[/tex]
[tex]N' =(-1,-4)[/tex]
[tex]O' =(-4,4)[/tex]
[tex]P' =(-4,7)[/tex]
