Triangle MNO has its vertices at the following coordinates:M(2, 2) N(-1,3) O(1,5)Give the coordinates of the image triangle M'N'O' after a 90° counterclockwise rotation about the origin.

Respuesta :

The counter clockwise rotation of any point X(x,y) about origin results in change of coordinates as,

[tex]X(x,y)\rightarrow X^{\prime}(-y,x)[/tex]

Determine the coordinates of the vertices of the triangle M'N'O'.

[tex]M(2,2)\rightarrow M^{\prime}(-2,2)[/tex][tex]N(-1,3)\rightarrow(-3,-1)[/tex][tex]O(1,5)\rightarrow(-5,1)[/tex]

So coordinates of triangle M'N'O' are;

M'(-2,2)

N'(-3,-1)

O'(-5,1)