Performing transformations

(x,y) becomes (-y,-x)

• Rotation of 180

• Rotation of 90 CCW

• Reflection over y=-x

• Reflection over x-axis

The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?

• Z'(2, 4)
• Z'(-4, 2)
• Z'(-2, -4)
• Z'(-4, -2)

What angle rotation is this?

• $90\degree$

• $180\degree$

• $270\degree$

• $360\degree$

The transformation that turns

a figure through a given angle and

in a given direction around a fixed point.

• Translation

• Reflection

• Rotation

A hexagon has vertices at (2, 1), (3, 2), (3, 4), (2, 5), (1, 4), and (1, 2). After a 90-degree rotation counterclockwise about the origin, what are the new coordinates of the vertices?

• (-1, 2), (-2, 3), (-4, 3), (-5, 2), (-4, 1), (-2, 1)

• (1, -2), (2, -3), (4, -3), (5, -2), (4, -1), (2, -1)

• (-1, -2), (-2, -3), (-4, -3), (-5, -2), (-4, -1), (-2, -1)

• (1, 2), (2, 3), (4, 3), (5, 2), (4, 1), (2, 1)

If a point (x, y) is rotated 180 degrees about the origin, which of the following represents its new coordinates?

• (x, y)

• (-x, -y)

• (y, x)

• (-y, -x)

Find the coordinates of $H'$  given a rotation  $90\degree$  counterclockwise the origin.

•  $H'\left(2,\ -1\right)$  
  

•  $H'\left(4,\ 1\right)$  
  

•  $H'\left(-1,\ -2\right)$  
  

•  $H'\left(-1,\ 2\right)$  
  

The rule for rotation of 180 degrees is  
(x, y) --> 

• (-y, x)
• (-x, -y)
• (y, -x)
• (-y, -x)

Another name for a rotation is

• slide

• enlargement /reduction

• mirror

• turn

Identify the transformation from A to D.

• 270^o Counterclockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 360^o Rotation