Rotations - Digital Interactive Notebook

​REVIEW OF TRANSFORMATIONS

• Translation (slide) transformation that moves every point the samedistance and in same direction

• Reflection (flip) transformation that maps every point across a line of reflection (mirror image)

• Rotation (turn) a transformation that turns every point about a fixed point, called the center of rotation

​REVIEW OF TRANSFORMATIONS

• Rigid Motion - also called an ____________, a _______________ that maps a figure onto a new figure without changing its _________ or _________

• Congruent - when a figure can be _______________ onto another by ________ ___________; same _______, same ________; corresponding _________ _____________ and corresponding ________ __________ are the same point, called the center of rotation

​REVIEW OF TRANSFORMATIONS

• Pre-Image - the ____________ figure ___________ its transformation

• Image - the ________ figure ___________ its transformation; ___________ notation is used to denote the image

​REVIEW OF TRANSFORMATIONS

PROPERTIES PRESERVED UNDER ISOMETRIES
• Angle Measures. All corresponding angles remain the same.
• Parallelism. Parallel lines remain parallel.
• Collinearity. Points remain in the same line
• Distance. Side lengths remain the same.
• Orientation. Letter order remains the same.
EXCEPTION: reflections

​RIGID MOTION

​a ___________________ that turns a figure about a __________ point, called the ___________ _____ ________________

​•on a coordinate plane, assume the center of rotation is the _____________ unless told otherwise

•rotations can be _________________ or ________________________

•assume a _____________ angle of rotation turns the figure _______________________ unless told otherwise

Multiple Select

Rotations can be ___ or ___ on a coordinate plane.

• clockwise

• counterclockwise

• horizontal

• vertical

Match

Match the Rotations

• 90^o CW

• 180^o CW

• 270^o CW

270^o CCW

180^o CW

90^o CCW

• 270^o CCW

• 180^o CW

• 90^o CCW

Multiple Choice

What is the rule for rotating a point 90 degrees clockwise about the origin?

• (x, y) → (y, -x)

• (x, y) → (-y, x)

• (x, y) → (-x, -y)

• (x, y) → (x, y)

Multiple Choice

What is the rule for rotating a point 90 degrees counterclockwise about the origin?

• (x, y) → (y, -x)

• (x, y) → (-y, x)

• (x, y) → (-x, -y)

• (x, y) → (x, y)

Graphing

Rotate 90° clockwise
about the origin

Graphing

Rotate 90° counterclockwise
about the origin

Graphing

Rotate 180° about the origin