Algebraic Rules Translations Reflections Rotations

Translations move shapes
Right 6 and Up 8
would be represented by

• ( x , y ) → ( x + 6 , y + 8 ) 

• ( x , y ) → ( x + 8 , y + 6 ) 

• ( x , y ) → ( x - 6 , y - 8 ) 

• ( x , y ) → ( x - 8 , y - 6 ) 

• First check the order of x&y

  Then check the negatives

• ...

The transformation that flips or mirrors a shape over an axis is called a ...

• Dilation

• Reflection

• Rotation

• Translation

The transformation that turns or spins a shape 90, 180 or 270 degrees is called a ...

• Dilation

• Reflection

• Rotation

• Translation

Which is the algebraic rule for a 180 degree rotation?

• (-x, -y)

• (-y, x)

• (x -2, y-4)

• (5x, 5y)

What is the algebraic rule?

• A

• B

• C

• D

A figure has a vertex at (a, b), in which a is a positive integer and b is a positive integer. What is the algebraic rotation rule that takes the figure to Quadrant III?

• (x, y) → (y, −x)

• (x, y) → (−x, −y)

• (x, y) → (−y, x)

• (x, y) → (x, y)

What is an example of the algebraic rule for a TRANSLATION?

• (3x, 3y)

• (x+3, y-2)

• (x, -y)

• (y, -x)

Reflections over the x-axis change the ____-__________. 

• y-coordinate

• x-coordinate

( x , y ) → ( -x , y )

• Dilation

• Reflection

• Rotation

• Translation