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