Name:____________________________________________________
Properties of Transformations
Date:__________ Period:_______
Ms. Anderle
Properties of Transformations

Isometry: A type of transformation where distance is preserved
 Direct Isometry: An isometry that preserves orientation (order of the
vertices)
 Opposite Isometry: An isometry that changes the order of the vertices from
clockwise to counter-clockwise.

Parallelism: lines that are parallel remain parallel. Is preserved when the image of
parallel lines are also parallel.

Collinearlity: points stay on the same line. It is preserved when three or more
points lie on a straight line and their transformed images also lie on a straight line.

Orientation: order of the letters (vertices). This is preserved when the clockwise or
counter-clockwise reading of points in a given figure is the same as the image of that
figure.

Angle Measure: Is preserved when each angle and its image are equal in measure.

Betweenness: Is preserved when the transformation of a segment and its midpoint
results in a segment image that includes the corresponding midpoint image. For
example if line AD has midpoint M, then line A’D’ would have midpoint M’.
Check off what properties are preserved under a specific transformation.
Line
Point
Translation
Dilation
Reflection
Reflection
Angle
Measure
Betweenness
Collinearlity
Distance
Parallelism
Orientation
Rotation