How do we solve problems using rotations?

Step 1: Write down the originals shapes coordinates in (x,y) form
 
    Ex: For a triangle you jot down all 3 of its points a pentagon all 5 and so on...

Step 2: Note the rotated shapes coordinates (in (x,y) form as well) 

* Remember it will look similar to the original points of the shape (by turning positive numbers to negative)

Step 3: Compare both sets of coordinates 

* If the coordinates were changed from (x,y) to (-y,x) then that means the shape was rotated by 90 degrees.


* If changed from (x,y) to (-x,-y) then that means the shape was rotated by 180 degrees

* A shape that begins with (x,y) and ends up with (y,-x) then the shape was rotated 270 degrees

* lastly if the shape has been shifted 360 degrees it will give you the same coordinates you had started with

How do we graph dialations?

Step 1: You multiply both coordinates by the scale factor
    
Ex:Point coordinates (2,6)
     Scale Factor: (3)
             
 - 2 * 3 = 6  ; 6 * 3 = 18 


Step 2: Simplify 
      
- (6,18)


Step 3: Graph points if told to do so