5.1

transformation

transformation

a function that changes the size, position, or shape of a figure or graph

preimage

the original figure, before the transformation

image

the resulting figure after the transformation of the preimage

rigid motion

a transformation that does not change the size or shape of a figure

vector

a quantity that has both direction and magnitude

component form

the form of a vector that lists the horizontal and vertical change from the initial point

translation

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

reflection across y-axis

(x,y) ---> (-x,y)

reflection across x-axis

(x,y) ---> (x,-y)

reflection across y=x

(x,y) ---> (y,x)

reflection across y=-x

(x,y) ---> (-y,-x)

90 degree rotation

(x,y) ---> (-y,x)

270 degree rotation

(x,y) ---> (y,-x)

180 degree rotation

(x,y) ---> (-x,-y)

360 degree rotation

(x,y) ---> (-x,y)

symmetry

a property of a figure that can be mapped to itself using a transformation such as a reflection or rotation

line of symmetry

a line that divides a plan figure into two congruent reflected halves