Types of Reflection

Reflection in the x-axis

(x,y)→(x,-y)

Reflection in the Y-axis

(x,y)→(-x,y)

Reflection in the line y=x

(x,y)→(y,x)

Reflection in the line y=-x

(x,y)→(-y,-x)

Rotation of 90° counterclockwise about the origin

(x,y)→(-y,x)

Rotation 90° clockwise about the origin

(x,y)→(y,-x)

Rotation of 180° about the origin

(x,y)→(-x,-y)

Rotation of 270° counterclockwise about the origin

(x,y)→(y,-x)

Rotation of 270° clockwise about the origin

(x,y)→(-y,x)

Translation by a vector

(x,y)→(x+a,y+b)