math rigid transformations

reflection across y axis

(-x, y)

reflection across x axis

(x, -y)

reflection across y=x

(y, x)

rotation 90 degrees counterclockwise about origin

(-y, x)

rotation 90 degrees clockwise about the origin

(y, -x)

rotation 180 degrees about the origin

(-x, -y)

rotation 270 degrees counterclockwise about the origin

(y, -x)

rotation 270 degrees clockwise about the origin

(-y, x)

translation

(x + or - a, y + or - b)

define rigid transformation

shape and size doesn’t change it just moves/ the orientation just changes

3 properties that are true about each point and its image for reflections

lines between og points and image are parallel, each og point is the same distance from the line of reflection as its image point, liens connecting the og points and image are perpendicular to line of reflection

what type of transformation is not rigid

dialation