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Tems11 [23]
3 years ago
5

Can someone please help?!

Mathematics
1 answer:
Bond [772]3 years ago
7 0

Answer:

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

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

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

Step-by-step 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).

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