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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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Presentation Transcript
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
  • The point must be the midpoint for all segments that pass through it and have endpoints on the figure.
example2

A

T

M

H

Example

Does Rhombus MATH have point symmetry?

Yes

rotation

Fixed point

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

Example:

dilation
Dilation
  • Change in size of a figure
    • Enlarge or shrink
    • Similar figures (congruent angles, proportional side lengths)
isometry
isometry
  • 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.
  • Translation
  • Reflection
  • Rotation
  • Dilation

Yes

Yes

Yes

No

tessellation
tessellation
  • A repeating pattern of figures that completely covers a plane without gaps or overlaps.
learn more about m c escher
Learn more about M.C. Escher
  • http://www.mcescher.com/
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