Unit 10 Transformations
180 degree rotation about the origin
Change both coordinates to their opposites. They do not switch places.
Reflecting over the x-axis
Reflection in which the x coordinate stays the same and y coordinate changes to its opposite.
Reflecting over the y-axis
Reflection in which the y coordinate stays the same and x coordinate changes to its opposite.
90 degree clockwise rotation
Switch the coordinates of each point and then change the second coordinate to its opposite.
Translation
A figure that has been slid to a new position without flipping or turning.
Rotation
A figure that is turned or rotated around a given point
Reflect point A(10, -7) across the y axis
A' (-10, -7)
Reflect point A(10, -7) across the x axis
A' (10, 7)
rotate point A(8,-7) 90 degrees counterclockwise
A' (7, 8)
rotate point A(8, -7) 90 degrees clockwise
A'(-7, -8)
rotate point A(8, -7) 180 degrees about the origin
A'(-8, 7)
Translate point A(8, -7) using the following rule: (x+2, y-3)
A'(10, -10)
90 degree counterclockwise rotation
The coordinates switch places and then change the first coordinate to its opposite.
Reflection
The mirror image of a figure that has been flipped over a line