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Unit 1: Geometric Figures: Rigid Transformations and Congruence - Coggle…
Unit 1: Geometric Figures: Rigid Transformations and Congruence
Translations
Images slide
Slide up
add to y-coordinate
slide down
subtract from y-coordinate
slide left
subtract from x coordinate
slide right
add to the x-coordinate
describe using direction and distance
results in same size, same shape, facing same direction
Rotations
Images turn
describe using direction, center of rotation and degrees
results in same size, same shape, facing different direction
90 degrees clockwise
(x,y) --> (y,-x)
90 degrees counterclockwise
(x,y) ---> (-y,x)
180 degrees
(x,y) --> (-x, -y)
Reflections
results in same size, same shape, facing opposite directions
mirror images
images flip
describe using line of reflection
over y-axis
(x,y) --> (-x, y)
over x-axis
(x,y) --> (x,-y)
over y=x
(x,y) --> (y,x)
over y=-x
(x,y) --> (-y,-x)