Reflections and Translations Coordinate Rules

Reflect the point (2, -4) over the y-axis.

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

The rule for reflection over the y-axis is  
(x, y) --> _

• (-x, y)

• (x, -y)

• (y, x)

• (-y, x)

A transformation in which a geometric figure is reflected across a line, creating a mirror image. 

• Translation

• Reflection

• Rotation

• Dilation

Identify the transformation from ABC to A'B'C'.

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o clockwise rotation

• 90^o counterclockwise rotation

(x,y) --> (x+a, y+b)

• translation

• rotation

• reflection

• dilation

(x,y) --> (x, -y)

• Reflection over the y-axis

• Reflection over the x-axis

• Translation 

• Rotation 180 ° 

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 the y-axis

• (x,y) -> (-x, y)

• (x,y) -> (-y, -x)

• (x,y) -> (y,x)

• (x,y) -> (x, -y)