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

What Are The Coordinates Of The Verticals Of R90degrees 0 MNP class=

Sagot :

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]

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