Chapter Nine Transformation Rules Flashcards
X-axis reflection
negate y value
X-axis reflection
negate y value
Y-axis reflection
negate x value
XY-axis reflection
switch values
Vector notation (translations)
Function notation (translations)
xc,y)—>(x+a, y+b)
90 degree rotation
switch, negate x value
180 degree rotation
negate both
270 degree rotation
switch, negate y value
what is the number of times a shape can be mapped onto itself (symmetry)?
the order
how do you find rotational symmetry, order, and magnitude?
- how many times can you rotate figure and have it match itself?
- this is the order
- 360/order = magnitude
reflection synonym
flip
rotation synonym
turn
translation synonym
slide
if the point is not on the line of reflection _____ joins the two points
perpendicular bisector
more than one transformation
composition transformation
glide reflcetion
translation followed by a reflection
isometry
function that moves an image without changing its size or shape; composition of two or more isometries
the composition of two relflections over parallel lines is a _______
translation
the translation vector in a double reflection over parallel lines is ____ to the lines
perpendicular
Y-axis reflection
negate x value
XY-axis reflection
switch values
Vector notation (translations)
Function notation (translations)
xc,y)—>(x+a, y+b)
90 degree rotation
switch, negate x value
180 degree rotation
negate both
270 degree rotation
switch, negate y value
what is the number of times a shape can be mapped onto itself (symmetry)?
the order
how do you find rotational symmetry, order, and magnitude?
- how many times can you rotate figure and have it match itself?
- this is the order
- 360/order = magnitude
reflection synonym
flip
rotation synonym
turn
translation synonym
slide
if the point is not on the line of reflection _____ joins the two points
perpendicular bisector
more than one transformation
composition transformation
glide reflcetion
translation followed by a reflection
isometry
function that moves an image without changing its size or shape; composition of two or more isometries
the composition of two relflections over parallel lines is a _______
translation
the translation vector in a double reflection over parallel lines is ____ to the lines
perpendicular
a reflection over the y axis, then over the x axis is also a
180 degree rotation
symmetry
“rigid rotation” that maps figure onto itself
line symmetry
reflectional symmetry
rotational symmetry of 180
point symmetry
plane symmetry
figure can be mapped onto itself by reflection in a plane
axis symmetry
can turn on its axis; figure can be mapped onto itself by rotation in a line
a figure and its dilation are
proportional/similar