Transformations

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# Transformations - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Transformations' - eljah

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Presentation Transcript

### 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!

reflections
• The mirror image of the original figure

* The figures are congruent!

* The original image is flipped!

### It is also possible to have a reflection image with respect to a point.

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

A

T

M

H

Example

Does Rhombus MATH have point symmetry?

Yes

Fixed point

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

Example:

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

Yes

Yes

Yes

No

### Transformationsare used to make tessellations

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