Rotations, Translations, Reflections And

Reflection or Rotation

• Reflection

• Rotation

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

• A

• B

• C

• D

• (-4, -3)

• (4, 3)

• (-3, -4)

• (-4, 3)

Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?

• (-1,3)

• (5,3)

• (5,8)

• (3,5)

Reflect the shape over the line y = x. Where is A'?

• (7, 2)

• (-2, 7)

• (2, -7)

• (-7, -2)

What is the correct rule for this Reflection?

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

What type of rotation does this represent (from red to blue)?

• 270⁰ clockwise

• 360⁰

• 90⁰ counterclockwise

• 180⁰

Which would be the correct notation for the composition of transformations from blue to red to green?

• T<-4,0> ^o R_{y axis} 

• T<0,-4> ^o R_{y axis} 

•  R_{y axis} o T<0,-4> 

•  R_{x axis} o R_{y axis} 

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

The point ( -2,5) is reflected over the line x = 1.  Find its image.

• (  4,  5)

• ( -2  , -5)

• ( 2  ,  5)

• (2   , -5)