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Unformatted text preview: Chapter 7: Chapter Transformations Transformations
p. 396 Reminder Reminder
Pre image Original shape or Original object. object. A A’ Image Shape or object Shape after it has been moved. moved. Isometry Isometry
Definition – a transformation that preserves length. length. Means the original lengths of the objects are Means not changed and the pre image & image are still congruent. still A dilation is NOT an isometry because the dilation image gets smaller or larger than the pre image. image. Transformation Transformation
Definition – anything that maps (or moves) a pre image to an image. moves) 4 Basic types of transformations: 1. Reflection 2. Rotation 3. Translation 4. Dilation Reflection (flip) Reflection
• Must draw the line of reflection
A A’ Rotation (turn) Rotation
• Need the center of rotation labeled • Need the angle of rotation labeled
A’ A 90o angle of rotation, clockwise. clockwise. Center of Center rotation rotation Translation (slide) Translation
• Need direction vector drawn.
A A’ Translation in coordinate plane Translation
If ΔABC is the pre image with A(1,3), B(1,1), If ABC & C(1,0), sketch the image after the translation: translation: (x,y) (x3,y+4) This means subtract 3 from all xvalues & add This 4 to all yvalues in the ordered pairs given for the pre image. for This will give you the new ordered pairs for This the image. the Finding the new points Finding
ΔABC A (1,3) B (1,1) C (1,0) ΔA’B’C’ A’ (4,1) B’ (2,3) C’ (4,4) Glide reflection Glide
• A translation, then a reflection. A A’ A’’ Let’s look at some book examples! Let’s
p. 400 #2325 p. 401 #3639, 41 p. 407 #1214, 18 p. 408 #2224 p. 416 #13, 17 p. 426 #20, 25, 27 p. 427 #44 p. 433 #912 p. 434 #22 Homework #100 Homework
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This note was uploaded on 02/18/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN
 Transformations

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