Question

What are the coordinates of the verticals of r(90degrees, 0) ( MNP )?

Answer 1

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:

`r_((90°,O))(x,y)=(-y,x)`

Applying the rule for the first point we get:

`r_((90°,O))(3,4)=(-4,3)`

For the second point we have:

`r_((90,O))(6,3)=(-3,6)`

For the third point, we get::

`r_((90,O))(4,-2)=(2,4)`

Therefore, the points are:

`\begin{gathered} M^(\prime)=(-4,3) \\ N^(\prime)=(-3,6) \\ P^(\prime)=(2,4) \end{gathered}`