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Transformations and Tesselations

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Presentation on theme: "Transformations and Tesselations"— Presentation transcript:

1 Transformations and Tesselations
By: Christine Berg Edited By: VTHamilton

2 Movements of a figure in a plane May be a SLIDE, FLIP, or TURN
Transformation Movements of a figure in a plane May be a SLIDE, FLIP, or TURN

3 Another name for a SLIDE
Translation Another name for a SLIDE A A’ C B C’ B’ A’, B’ and C’ are explained in the next slide...

4 The figure you get after a translation
Image The figure you get after a translation A A’ Slide C B C’ B’ Original Image The symbol ‘ is read “prime”. ABC has been moved to A’B’C’. A’B’C’ is the image of ABC.

5 Finding the amount of movement LEFT and RIGHT and UP and DOWN
Writing a Rule Finding the amount of movement LEFT and RIGHT and UP and DOWN

6 Writing a Rule Right 4 (positive change in x) Down 3 (negative
9 8 7 6 5 4 3 2 1 Right 4 (positive change in x) B Down 3 (negative change in y) B’ A C A’ C’

7 Can be written as: R4, D3 (Right 4, Down 3) (x+4, y-3)
Writing a Rule Can be written as: R4, D3 (Right 4, Down 3) (x+4, y-3)

8 Reflection Another name for a FLIP A A’ C B B’ C’

9 Used to create SYMMETRY on the coordinate plane
Reflection Used to create SYMMETRY on the coordinate plane

10 When one side of a figure is a MIRROR IMAGE of the other
Symmetry When one side of a figure is a MIRROR IMAGE of the other

11 The line you reflect a figure across
Line of Reflection The line you reflect a figure across Ex: X or Y axis

12 Rotation Another name for a TURN C’ B’ B A’ C A

13 A transformation that turns about a fixed point
Rotation A transformation that turns about a fixed point

14 Center of Rotation The fixed point C’ B’ B A’ C A (0,0)

15 Rotational Symmetry When an image after rotation of 180 degrees or less fits exactly on the original

16 Measuring the degrees of rotation
Rotating a Figure Measuring the degrees of rotation C’ B’ B A’ 90 degrees C A


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