Module 3. Mathematical Transformations Flashcards
deals with the idea of motion which a geometric figure undergoes on a plane
mathematical transformation
involves moving an object from its original position to a new position
mathematical transformation
different types of transformation
- reflection
- translation
- rotation
- glide reflection symmetry
if the figure on one side of the line is a mirror of the other
symmetry
divides the figure into two (2) congruent parts
line of symmetry
congruent
same shape and size
transformation which creates symmetry on a plane
reflection or flip
line across which you reflect a figure
line of reflection
when you fold along a line of relflection, the original figure __ with its reflection
overlaps
cuts the figure into a top and bottom that are mirror images of each other
horizontal line of symmetry
cuts the figure into a left and right that are mirror images of each other
vertical line of symmetry
movement done by sliding a figure from one point to another about a plane
translation
in a translation transformation, all the points in the object are moved in a __ __ in the __ __
straight line
same direction
means that the object and image are facing the same direction
same orientation
transformation that turns a figure about a fixed point called the center of rotation
rotation
fixed point where the figure in rotation transfromation is turned
center of rotation
a figure has rotational symmetry if after a rotation of __ or __, its image fits exactly on top of the original figure
180° or less
infinite strip with a repeating pattern
frieze pattern or border pattern
all frieze patterns have __ __
translation symmetry
a horizontal frieze pattern looks the same when slid __ or __
left or right
combination of a translation and a reflection
glide reflection symmetry
Hop
Translation symmetry only
Step
Translation & glide reflection symmetry
Sidle
Translation & vertical reflection symmetry
Spinning hop
Translation & rotation (by half turn) symmetry
Spinning sidle
Translation, glide reflection & rotation (by half turn)
Jump
Translation & horizontal reflection symmetry
Spinning jump
Translation, horizontal & vertical reflection, and rotation (by half turn)