Rotation Around the Origin

Rotate K(2,5) 180 degrees about the origin.

• K'(-5,2)

• K'(-2,-5)

• K'(5,-2)

• K'(-5,-2)

Identify the rotation performed on the figure given.

• 90 degrees clockwise (270 degrees counterclockwise)

• 90 degrees counterclockwise (270 degrees clockwise)

• 180 degrees

Identify the rotation performed on the figure given.

• 90 degrees clockwise (270 degrees counterclockwise)

• 90 degrees counterclockwise (270 degrees clockwise)

• 180 degrees

Describe the transformation shown in the graph.

• Reflect over x-axis

• Reflect over y-axis

• Rotate 270 degrees CCW around the origin

• Rotate 90 degress CCW around the origin

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°

• 180°

• 270°

• 360°

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Which figure can be transformed into figure L by a 90° rotation clockwise about the origin followed by a translation 2 units down?

• Figure J

• Figure M

• Figure N

• Figure P

Which of the following describes the sequence of transformations shown? (From A to A' to A'')

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees counterclockwise about the origin.

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-x,-y)

• (x,y)→(-y,x)

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)