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

Fill in the Blanks

A rotation is a type of

that turns a figure about a fixed point.

•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)

Fill in the Blanks

After rotating point B(1, 4) 90 degrees clockwise about the origin, what are the coordinates of B'?

Graphing

Rotate 90° clockwise
about the origin

Fill in the Blanks

After rotating point F(-6, 5) 90 degrees counterclockwise about the origin, what are the coordinates of F'?

Fill in the Blanks

After rotating point G(0, 2) 90 degrees counterclockwise about the origin, what are the coordinates of E'?

Graphing

Rotate 90° counterclockwise
about the origin

Graphing

Rotate 180° about the origin