Transformations Around the Coordinate Plane

A function that takes points in a plane as an input and maps them to an output.

• Transfiguration

• Transformation

• Input Map

• Output Map

The original figure that a transformation is applied to.

• Postimage

• Starting Figure

• Preimage

• Transformed Figure

Translation Coordinate Rules

• (x,y) ->(y, x)

• (x,y) ->(x+h, y+k)

• (x,y) -> (-x, -y)

• (x, y) -> (-y, -x)

Which of the following is NOT a true statement concerning REFLECTIONS.

• The axis of symmetry is a perpendicular bisector of the segments connecting preimage to image.

• Segments connecting preimage to image are parallel.

• The segment from the preimage to the axis of symmetry is congruent to the segment from the image to axis of symmetry.

• Segments connecting preimage to image are congruent.

Coordinate Rule:
Reflect around the x-axis

• (x,y) -> (-x, y)

• (x,y) -> (-y, -x)

• (x,y) -> (y,x)

• (x,y) -> (x, -y)

Coordinate Rule:
Reflect around y=x

• (x,y) -> (-x, y)

• (x,y) -> (-y, -x)

• (x,y) -> (y,x)

• (x,y) -> (x, -y)

Coordinate Rule:
Reflect around y=-x

• (x,y) -> (-x, y)

• (x,y) -> (-y, -x)

• (x,y) -> (y,x)

• (x,y) -> (x, -y)

Coordinate Rule:
90 degree Rotation (counterclockwise)

• (x,y) -> (x, -y)

• (x,y) -> (-y,x)

• (x,y) -> (-x, -y)

• (x,y) -> (y,-x)

Coordinate Rule:
180 degree Rotation (counterclockwise)

• (x,y) -> (x, -y)

• (x,y) -> (-y,x)

• (x,y) -> (-x, -y)

• (x,y) -> (y,-x)

Coordinate Rule:
270 degree Rotation (counterclockwise)

• (x,y) -> (x, -y)

• (x,y) -> (-y,x)

• (x,y) -> (-x, -y)

• (x,y) -> (y,-x)