Translations Flashcards
the line of reflection acts as a _____ between two reflected points
perpendicular bisector
what notation do you use on the letters of an image in a transformation
prime notation
double reflections over two intersecting lines result in a ———
rotation
the angle of rotation is ________ the angle of the two intersecting lines
double
double reflections over two parallel lines result in a _______
translation
what do you use on the image of the image’s letters
double prime notation /“
what notation do we use to graph translations
vector notation
translate <-5, 9>
left 5, up 9
translate <-9,5>
left 9, up 5
translate <9, 6>
right 9, up 6
translate <-9,-5->
left 9, down 5
a series of reflections and translations
glide reflections
how many lines of symmetry are in regular polygons
for regulat polygons, the # of lines of symmetry is the same as the number of sides
a transformation _________ a figure a certain way
moves
the original figure is called a ______ and the new figure is called a ______
pre-image, image
what notation is used to show movement from the pre image to image
mapping notation
Mapping notation uses _______ letters from the pre image to image
different
what is an isometry
a transformation that preserves lengths, angle measures, parallel lines, and distances between points
aka a isometry means the pre image and image are congruent
another name for isometry
rigid transformation
reflections, rotations, and translations are __________ isometries
always
to prove two images are isometries you must use
distance formula
dead giveaway for rotation
image should look the same as the pre image when spin around
when a figure can be mapped into itself when spinning around the figures center point
rotational symmetry
to find the degree of each rotation, what formula do you use
360/# or rotations