Transformations
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Transformations. transformation. A change of position or size of a figure. Translations Reflections Rotations Dilation. 4 types:. translation. A transformation that moves points the same distance and in the same direction. * The figures are congruent!. * The original image is slid!.

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Transformation
transformation

  • A change of position or size of a figure.

  • Translations

  • Reflections

  • Rotations

  • Dilation

4 types:


Translation
translation

  • A transformation that moves points the same distance and in the same direction.

* The figures are congruent!

* The original image is slid!



Reflections
reflections

  • The mirror image of the original figure

* The figures are congruent!

* The original image is flipped!





Point of symmetry
Point of Symmetry to a point.

  • The point must be the midpoint for all segments that pass through it and have endpoints on the figure.


Example2

A to a point.

T

M

H

Example

Does Rhombus MATH have point symmetry?

Yes


Rotation

Fixed point to a point.

rotation

  • A transformation that turns a figure about a fixed point.

Example:


Another example
Another Example: to a point.


Dilation
Dilation to a point.

  • Change in size of a figure

    • Enlarge or shrink

    • Similar figures (congruent angles, proportional side lengths)


Original Figure to a point.


Isometry
isometry to a point.

  • Congruence Transformation

    • Maps every segment to a congruent segment

  • No change in size!

    • Congruent sides and congruent angles


State whether each of the following have isometry
State whether each of the following have isometry. to a point.

  • Translation

  • Reflection

  • Rotation

  • Dilation

Yes

Yes

Yes

No



Tessellation
tessellation to a point.

  • A repeating pattern of figures that completely covers a plane without gaps or overlaps.


Transformations in the work of m c escher

Transformations to a point.in the work ofM.C. Escher


Learn more about m c escher
Learn more about to a point.M.C. Escher

  • http://www.mcescher.com/


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