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Transformation Rules(!)
How ordered pairs are affected by translations, rotations or reflections
24
Mathematics
8th Grade
12/12/2013

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Cards

Term
TRANSLATION (definition)
Definition
Sliding/moving
Term
ROTATION (definition)
Definition
Turning
Term
REFLECTION (definition)
Definition
Flipping/mirroring
Term
(x, y) changes to (x + ____, y)

*What transformation is occurring?
Definition
Translating to the right
Term
(x, y) changes to (x - ___, y)

*What transformation is occurring?
Definition
Translating to the left
Term
(x, y) changes to (x, y + ___)

*What transformation is occurring?
Definition
Translating up
Term
(x, y) changes to (x, y - ____)

*What transformation is occurring?
Definition
Translating down
Term
(x, y) changes to (x, -y)

*What transformation is occurring?
Definition
Reflection over the x axis
Term
(x, y) changes to (-x, y)

*What transformation is occurring?
Definition
Reflection over the y axis
Term
(x, y) changes to (-x, -y)

*What transformation is occurring?
Definition
Could be either
Reflection over the x and y axes (diagonally) OR
Rotating 180degrees
Term
(x, y) changes to (y, -x)

*What transformation is occurring?
Definition
Rotating 90degrees clockwise
Term
(x, y) changes to (-y, x)

*What transformation is occurring?
Definition
Rotating 270degrees clockwise
Term
When we translate up, how does it affect the ordered pair?
Definition
We add to the y coordinate
(the x stays the same)
Term
When we translate down, how does it affect the ordered pair?
Definition
We subtract from the y coordinate
(the x stays the same)
Term
When we translate to the right, how does it affect the ordered pair?
Definition
We add to the x coordinate
(the y stays the same)
Term
When we translate to the left, how does it affect the ordered pair?
Definition
We subtract from the x coordinate
(the y stays the same)
Term
When we reflect over the x axis, how does it affect the ordered pair?
Definition
We change the sign of the y coordinate
(the x stays the same)
Term
When we reflect over the y axis, how does it affect the ordered pair?
Definition
We change the sign of the x coordinate
(the y stays the same)
Term
When we reflect over both axes (diagonally), how does it affect the ordered pair?
Definition
We change the signs of both the x and y coordinates
Term
When we rotate 90 degrees clockwise around the origin, how does it affect the ordered pair?
Definition
We switch our x and y AND change the sign of the second coordinate
Term
When we rotate 180 degrees around the origin, how does it affect the ordered pair?
Definition
We change the signs of both the x and y coordinates
Term
When we rotate 270 degrees around the origin, how does it affect the ordered pair?
Definition
We switch our x and y AND change the sign of the first coordinate
Term
Which axis goes left to right?
Definition
The x axis
Term
Which axis goes up and down?
Definition
The y axis
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