Warm Up A size transformation (dilation) with scale factor 4 is applied to the right triangle below. What are the lengths of the three sides of the image triangle? What is the area of the given triangle? What is the area of the image triangle? 10 minutes 3 4 5 End For standard class, have picture instead.
Answers A size transformation (dilation) with scale factor 4 is applied to the right triangle below. What are the lengths of the three sides of the image triangle? What is the area of the given triangle? What is the area of the image triangle? 3 4 5 12, 16, 20 For standard class, have picture instead. 6 units2 96 units2
CORE TIME – Review of Transformation
Composition of Motion and 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 compositions, 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.
Group Work Time Keeper: 8 minutes Resource Manager: Grab one slip per person Reader: Read the question that matches your group number. Write the two transformations and the net rule on your poster paper and hang up next to your station number Spy Monitor: Check in with other groups After each group has hung up their poster, have a gallery walk. Students should check other groups work to see if they agree or disagree.
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