Transformations: Translations

Translations-  shape moves (slides) in one direction from one place to another

• the orientation of the shape does not change
• adding/subtracting some number to the x and/or y coordinates of a shape

Translate the below shape 3 units right

Shifting right is increasing in the x direction. Therefore we add 3 to each x coordinate (-4,3) -> (-1, 3) (1,-1) ->(4,-1) (-5,-2)->(-2,-2)

Translate the shape below 3 units down and to the right 45

Determine change in x and y direction x direction: 3cos(45)=2.12 y direction: 3sin(45)=-2.12 (-4,3) -> (-1.88,0.88) (-3,1) -> (-0.88, -1.12) (-1,2) -> (1.12,-0.12)