Rotations and Sequence/Composition Transformations

There are two components of every rotation, they are;

• Center of rotation and angle of rotation

• Center of rotation and direction of rotation

• Direction of rotation and Angle of rotation

• Scale factor of rotation and center of rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Another name for a rotation is a

• turn

• flip

• stretch

• slide

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for a rotation, centered at the origin, 90 degrees counterclockwise is

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for a rotation, centered at the origin, 180 degrees is

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for a rotation, centered at the origin, 270 degrees counterclockwise is

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for a rotation, centered at the origin, 90 degrees clockwise is

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for a rotation, centered at the origin, 270 degrees clockwise is

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for the pictured rotation is...

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for the pictured rotation is...

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for the pictured rotation is...

• (x,y) --> (-y,x)

• (x,y) --> (-x,-y)

• (x,y) --> (y, -x)

• (x,y) --> (y,x)

Tags

CCSS.HSG.CO.B.6