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Bell Ringer:List the domain and range of the relation below.
(PSSA)TRANSFORMATIONS
LEQ:How do you translate objects on a coordinate
plane?
RotationsPicture:
Definition:
A transformation in which a figure is turned about a fixed point, called the “center of rotation.”
The size or shape is not changed.
Rotations
Some rotations are turned about a vertex:
EX) Rotate 180 degrees about C
A
B C
Rotations
Some rotations are turned about a vertex:
EX) Rotate 90 degrees clockwise about C
A
B C
Rotations
Some rotations are turned about the origin:
EX) Rotate 180 degrees about the origin
A
B C
(x, y) -> (-x, -y)
RotationsSome rotations are turned about the origin:
EX) Rotate 90 degrees about the origin
A
B C
(x, y) -> (y, -x)
RotationsSome rotations are turned about the origin:
EX) Rotate 270 degrees about the origin
A
B C
(x, y) -> (-y, x)
Rotations Stations
One More: Dilations
A transformation that enlarges or reduces a figure by a scale factor relative to a center point.
The center point is called the center of dilation.
Enlargement or Reduction?
Scale Factor = 3
Scale Factor = 1/5
Scale Factor = 1
ENLARGEMENT
REDUCTION
NEITHER
Dilations Class Practice
Dilations Team Huddle
Quiz Tomorrow!
Translations (slides)
Reflections (flip)
Rotations (turn)
Dilations (resize)