Question

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!

Answer 1

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)`.