Chapter 9.1 Translations

Vocabulary Transformation= change in its position, shape, or size. Change in appearance. 3 main transformations are rotation, reflection, and translation Example: Translation = Slide!!! Rotation = (turn!!) Reflection = Flips!!!

Vocabulary Preimage= original figure Image= Resulting figure Example: You took a picture on a digital camera and want to put as the wallpaper on the computer (preimage) and realized the dimension is 800 x 600 but you want to make is fill the screen 1280 x 1024 so you stretch/expand the picture to fill the screen. The picture that’s stretched/expanded is the (image). This is called resizing.

Relating to transformation (x , y) (x’ , y’) This reads (x, y) maps onto (x prime, y prime) (x , y) (x’ , y’) Preimage Image Original Resultant

Vocabulary Isometry = transformation in which the preimage and image are congruent Before After transformation Preimage Image

Vocabulary Rigid motion = motion that preserves distance and angles

Vocabulary Translation (slide) = isometry that maps all points of a figure the same distance in the same direction Example: Translation = slide!!!!

Vocabulary Composition = combination of two or more transformations Example: In a game of chess, the Knight’s movement is a composition

Example #1 (x, y) (x-2, y-5) Original coordinates Resultant Coordinates X(2,1) Y(3,3) Z(-1,3)

Example #2 Does the transformation appear to be an isometry? Preimage

Example #3 Original coordinates Resultant Coordinates X(1, -2) X’(8, -3) Y(3, -4) Y’(10, -5) Z(6, -2) Z’(13, -3) Write a rule to describe each translation (X, Y)  ( , )

Classwork/Homework You will be given a vocabulary word. Your work is to find the definition (use the book, internet) and give an example (draw something related, example problem, etc) Pgs 473-474 #1-3, 7-14, 20-22