TransformationsSmartNotes.notebook. September 18, 2017

Transcription

1 September, 0 Toda ou will need:. transformation packet (b the door). Your notes (open to a new page). Your book There are RETKE packets b the door as well for those who need one. Lesson. Introduction to Transformations Ke concepts: What is a transformation? Transforming using coordinate notation. Pre Image v. Image. Rigid v. non rigid motion. What is a transformation? transformation means changing one, some, or all of the following:. Size. Shape. Position

2 September, 0 When transforming a shape, we sa we are beginning with a "Pre Image", and ending with an "Image". When transforming a shape, we sa we are beginning with a "Pre Image", and ending with an "Image". When transforming a shape, we sa we are beginning with a "Pre Image", and ending with an "Image". ' ' '

3 September, 0 When transforming a shape, we sa we are beginning with a "Pre Image", and ending with an "Image". ' ' ' n "Image" is often written with prime notation: The image of point is point ' ' ' ' Some transformations do NOT change the size and shape of an object. These are called RIGID MOTIONS. RIGID MOTION is a transformation that preserves:. shape. size

4 September, 0 ' ' ' Is this transformation a rigid motion? What about this transformation? ' ' ' Some transformations DO change the size and shape of an object. These are called NON RIGID MOTIONS. NON RIGID MOTION is a transformation that changes EITHER:. shape. size

5 September, 0 Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) ( +, + ) (, ) (, ) (, ) 0 0 (,)...'( ) (,)...'( ) (,)...'( ) Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) ( +, ) (, ) (, ) (, ) 0 0 (,)...'( ) (,)...'( ) (,)...'( ) Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) (, ) (, ) (, ) (, ) 0 0 (,)...'( ) (,)...'( ) (,)...'( )

6 September, 0 Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) (/, /) (, ) (, ) (, ) (,)...'( ) (,)...'( ) (,)...'( ) 0 0 Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) (, ) (, ) (, ) (, ) (,)...'( ) (,)...'( ) (,)...'( ) 0 0 Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) (, ) (,)...'( ) (,0)...'( ) (,)...'( )

7 September, 0 Transformations on a coordinate plane can be done b using 0 Transform pre image to image ''' using the (,) (, ) (,)...'( ) (,0)...'( ) (,)...'( ) Homework: Pages and, all problems Lesson. Translations Ke concepts: Vector Notation versus oordinate notation

8 September, 0 Reminder translations are slides; change position but not orientation or size/shape 0 Transform pre image to image ''' using the (,) ( +, + ) (, ) (, ) (, ) 0 0 (,)...'( ) (,)...'( ) (,)...'( ) There is another wa to translate using VETORS 0 v Vector v Vector notation for a translation: This means, how much to I move in the direction, and how much to I move in the direction? (, ) (, ) (, ) 0 0 (,)...'( ) (,)...'( ) (,)...'( ) Unlike with slope, the direction of the vector matters! Translate triangle using the vector v (,)...'( ) (,0)...'( ) (,)...'( )

9 September, 0 Vector terminolog and notation: v Terminal point Initial point Homework: Page, #;s and 0 Page 0, #'s