Translations off the Grid Vocab and Notation Translations
Translations off the Grid
Vocab and Notation Translations slide an object a fixed distance given a direction. vector - an object that has both magnitude and direction. Geometric vectors - a directed line segment, whose length is the magnitude and whose arrow indicates direction.
Examples and Notation B A j j
Finding a Vector In the figure to the right, quadrilateral ABCD has been translated the length and direction of vector CC'. Notice that the distance and direction from each vertex to its corresponding vertex on the image are identical to that of CC'.
Practice
Properties of Translations
Terminology Orientation: the arrangement of points, relative to one another, after a transformation has occurred. If the direction is the same after the transformation, then orientation is said to be preserved.
Terminology Invariant – Unchanged; same location. Parallelism/perpendicularity – if two segments are parallel/perpendicular, are they parallel/perpendicular after the transformation?
Isometries R r T Distance (size) X X X Angle Measure (shape) X X X Parallelism/ Perpendicularity X X X X X Orientation Isometry Direct Isometry Opposite Isometry X X X X D Reverses
- Slides: 9