Composition of motion | Combining Transformations

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

Homework Check

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

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)

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!

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.

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