We are given the following triangle:
Now, we are asked to determine the coordinates of the points when a 90 degrees rotation about the origin is performed.
The rule for this rotation is:
[tex]r_{(90°,O)}(x,y)=(-y,x)[/tex]
Applying the rule for the first point we get:
[tex]r_{(90°,O)}(3,4)=(-4,3)[/tex]
For the second point we have:
[tex]r_{(90,O)}(6,3)=(-3,6)[/tex]
For the third point, we get::
[tex]r_{(90,O)}(4,-2)=(2,4)[/tex]
Therefore, the points are:
[tex]\begin{gathered} M^{\prime}=(-4,3) \\ N^{\prime}=(-3,6) \\ P^{\prime}=(2,4) \end{gathered}[/tex]
