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Given Triangle ABC with vertices A(3,2), B(5,5) and C(7.2). What are the coordinates of A' after being reflected over the line y=-x and then rotated 90 degrees counterclockwise? A' 6 5 B A 3 2 .c 9 -8 -7 -6 -5 -2 3 7 5 6 5 w -2 -3 4 -5 Your answer

Respuesta :

For an arbitrary point (x,y), a reflection over the line y=-x is given by:

[tex](x,y)\rightarrow(-y,-x)[/tex]

The coordinates of the point A(3,2) after a reflection over the line y=-x, are:

[tex]A^{\prime\prime}=(-2,-3)[/tex]

For an arbitrary point (x,y), a rotation of 90 degrees counterclockwise is given by:

[tex](x,y)\rightarrow(-y,x)[/tex]

The coordinates of the point A''(-2,-3) after rotating 90 degrees counterclockwise, are:

[tex]A^{\prime}=(3,-2)[/tex]