transformations

things u need for rotation

center point direction angle

map onto

every point from figure 1 can be placed on top of the points of the other figure

rigid motions create

congruent shapes

dilations create

similar shapes

line symmetry

can be reflected and mapped to itself

rotational symmetry

can be rotated and mapped onto itself

180 rotational symmetry is same as

point symmetry

reflect over x

x,-y

reflect over y

-x, y

y=-x reflection

-x - y

y=x reflection

y, x

90 degree rotation

-y, x

180 degree rotation

-x , -y

270 degree rotation

y, -x

things need to dilate

center point, scale factor

vector

has direction and magnitude

(x,y) —> (3x,y)

horizontal stretch with a scale factor of 3 with respect to y axis

(x,y) —> (x,3y)

vertical stretch with a scale factor of 3 with respect to x axis