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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!.

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!

### reflections

• The mirror image of the original figure

* The figures are congruent!

* The original image is flipped!

Line of Reflection

## 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)

Original Figure

### isometry

• Congruence Transformation

• Maps every segment to a congruent segment

• No change in size!

• Congruent sides and congruent angles

• 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.