1. Composition of motion | Combining Transformations
Transformations – Day 6
Composition of motion |
Combining Transformations

2. Homework Check

3. Orientation
Definition: The orientation of a figure is the clockwise or counterclockwise labeling of the vertices. A A C C B B
Clockwise
Counterclockwise

4. Composition of Motion
Definition: A Composition of Motion is a transformation in which a second transformation is performed on the image of a first transformation.
Example: Translation by vector <5,-4> followed by reflection over x-axis
Translation: (x, y)  (x+5, y-4)
Reflection over x-axis: (x, y)  (x, -y)
Putting them together:
(x, y)  (x+5, y-4)  (x+5, -(y-4))
Written as one rule:
(x, y)  (x+5, -y+4)

5. Be Careful!
While in some composition, the order won’t matter, in others, the order you perform the transformation DOES change the final result.
Be sure to read each problem CAREFULLY!

6. Glide Reflection
Definition: A Glide Reflection is the composition of a translation (glide) followed by a reflection in a line parallel to the translation vector.

7. Practice Time!

8. Assessment
3-2-1: Write down 3 things you learned today, 2 things you have a question about, and 1 thing you found interesting
Homework: Worksheet