Rotating on a Grid

[list][*]1. Rotate ABCD 90 degrees clockwise around E[/*][size=150][size=150][*]2. Rotate ABCD 90 degrees counter-clockwise around E[/*][*]3. Rotate ABCD 180 degrees clockwise around E[/*][*]4. Rotate ABCD 180 degrees counter-clockwise around E[/*][/size][/size][/list]

[size=150]What happens to the coordinates (x, y) when you rotate them 90 degrees counter-clockwise around the origin (0, 0)?[/size]

(x, y) [math]\longrightarrow[/math] ( y, -x) (x, y) [math]\longrightarrow[/math] ( -y, x) (x, y) [math]\longrightarrow[/math] ( -x, -y)

[size=150]What happens to the coordinates (x, y) when you rotate them 180 degrees counter-clockwise around the origin (0, 0)?[/size]

(x, y) [math]\longrightarrow[/math] ( y, -x) (x, y) [math]\longrightarrow[/math] ( -y, x) (x, y) [math]\longrightarrow[/math] ( -x, -y)

[size=150]What happens to the coordinates (x, y) when you rotate them 270 degrees counter-clockwise around the origin (0, 0)?[/size]

(x, y) [math]\longrightarrow[/math] ( y, -x) (x, y) [math]\longrightarrow[/math] ( -x, -y) (x, y) [math]\longrightarrow[/math] ( -y, x)

[size=150]What happens to the coordinates (x, y) when you rotate them 360 degrees counter-clockwise around the origin (0, 0)?[/size]

(x, y) [math]\longrightarrow[/math] ( x,y) (x, y) [math]\longrightarrow[/math] ( -y, x) (x, y) [math]\longrightarrow[/math] ( -x, -y)

Rotating on a Grid

Informação: Rotating on a Grid