Respuesta :
Rotation Coordinate Notation About the Origin:
90–degree counterclockwise: (x, y) → (-y, x)
180–degree counterclockwise: (x, y) → (-x, -y)
270–degree counterclockwise: (x, y) → (y, -x)
Use this to help you..
Example -
The vertices of a triangle are
( 1 , 3 ) ( 3 , -4 ) , ( - 6 , -8 )
270 degrees , clockwise , rotated from origin ( x , y ) - ( y , -x )
The first vertice = ( 1 , 3 )
after rotation - ( 3 , - 1 )
The second vertice = ( 3 , -4 )
After rotation - ( -4 , -3 )
The third vertice = ( -6 , - 8 )
After rotation - ( -8 , 6 )
Hope my answer helps!
Rotating 90° (counterclockwise): (x, y) → (-y, x)
Rotating 180° (counterclockwise): (x, y) → (-x, -y)
Rotating 270° (counterclockwise): (x, y) → (y, -x)
The easiest way to explain this is:
1) Draw a point (I am going to choose (2, 4), which is in Quadrant 1)
2) Now, rotate your paper or graphing board 90°
3) Next, assume that your x-axis is horizontal and y-axis is vertical based on your rotation which means that the point has now moved to Quadrant 2. What is the new coordinate of the point? (-4, 2)
*****************************************************
Rotating another 90° again is a rotation of 180° from the original point
Rotating yet another 90° is a rotation of 270°. Not to confuse you, but 270° counterclockwise is the same as 90° clockwise.