9.1 Translations.

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Presentation transcript:

9.1 Translations

Before we get started, here are some terms. Pardekooper

*A transformation is a change in a figure’s position, shape, or size. Transformations *A transformation is a change in a figure’s position, shape, or size. Pardekooper

Transformations *The resulting figure (Bumblebee) is an image. The original image (the Camaro) is called the preimage. Pardekooper

*An isometry is a transformation in which the preimage and the image are congruent. Pardekooper

Do the following transformations appear to be an isometry? preimage image NO, they are different sizes Pardekooper

Do the following transformations appear to be an isometry? preimage image Yes, they are just flipped. Pardekooper

A certain type of Transformation Translation

Translation (or slide) When an isometry maps all points of a figure the same distance in the same direction.

Translation (or slide) It is a transformation without changing the size or shape, only a change in position

Translation Translation of the black square by: 4 units right and 2 units down (x, y)  (x+4, y-2)

Lets try the following: Find the image of XYZ under the translation (x,y)(x-2,y-5) X(2,1) (2-2,1-5) =X’(0,-4) Y(3,3) (3-2,3-5) =Y’(1,-2) Z(-1,3) (-1-2,3-5) =Z’(-3,-2)

9.2 Reflections Pardekooper

A reflections is simply an isometry flipped A reflections is simply an isometry flipped. One is the mirror image of the other. Pardekooper

Here comes the assignment

Assignment Workbook Page 417 all