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Can someone please help?!

Write a function for the following-

rotation of 90 degrees counterclockwise about the origin, point O

rotation of 180 degrees counterclockwise about the origin, point O

rotation of 270 degrees counterclockwise about the origin, point O

This is a unit activity from Plato for Geometry A the first unit activity, please help, Thankss!

User Milan Saha
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1 Answer

3 votes

Answer:

1.
R_(90) (x,y)=(-y,x)

2.
R_(180) (x,y)=(-x,-y)

3.
R_(270) (x,y)=(y,-x).

Explanation:

Let us assume a point (x,y) in the co-ordinate plane on which the transformations will be applied.

Now, we know that 'rotation' is a transformation that turns that image to a certain degree about a point.

So, the given transformations gives us the forms as:

1. When we rotate an ( x,y ) by 90° about origin counter-clockwise, the resultant co-ordinate is ( -y,x ).

So, the function form is
R_(90) (x,y)=(-y,x).

2. When we rotate an ( x,y ) by 180° about origin counter-clockwise, the resultant co-ordinate is ( -x,-y ).

So, the function form is
R_(180) (x,y)=(-x,-y).

3. When we rotate an ( x,y ) by 270° about origin counter-clockwise, the resultant co-ordinate is ( y,-x ).

So, the function form is
R_(270) (x,y)=(y,-x).

User Harshal Dhumal
by
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