Transformations with Rotating One Point

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-y,x)

• (x,y)→(-x,-y)

Point P is graphed at (4,5) shown on the grid below. Point P is rotating 90⁰ counterclockwise about origin to Point P'. What are the coordinates of P'?

• (-5, 4)

• (5, -4)

• (-4, 5)

• (-4, -5)

Point P is graphed at (4, 5) shown on the grid below. Point P is 180ᴼ clockwise about the origin to Point P’. What is the coordinates of point P'?

• (-5, 4)

• (5, -4)

• (-4, 5)

• (-4, -5)

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• D

• C

• B

• A

A transformation in which a figure is turned about a fixed point.

• Translation

• Reflection

• Rotation

• Transformation

Parallelogram PQRS is rotated 90ᴼ clockwise about the origin to create parallelogram P’Q’R’S’. Which rule describes this transformation?

• (x,y) $\rightarrow$ (y,x)

• (x,y) $\rightarrow$ (-x,y)

• (x,y) $\rightarrow$ (y,-x)

How many degrees was the figure rotated?

• 90 degrees counterclockwise

• 180 degrees

• 270 counterclockwise

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 270^o Clockwise Rotation

• 180^o Rotation

• 360^o Rotation

Translations, reflections and rotations are all known as ______.