1 / 18

Transformations

Learn about the different geometric transformations - reflections, translations, rotations, and dilations. Understand their properties, uses, and how they can change the position, size, and shape of figures.

tdoane
Download Presentation

Transformations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transformations

  2. transformation • One to One Mapping Preimage Point  Image Point A  A´ • A change of position or size of a figure.

  3. reflections • The mirror image of the original figure * The figures are congruent! * The original image is flipped!

  4. Line of Reflection Example:

  5. The line of Reflection is also called the line of symmetry.

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

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

  8. A T M H Example Does Rhombus MATH have point symmetry? Yes

  9. translation • A transformation that moves points the same distance and in the same direction. * The figures are congruent! *Often referred to as a glide!

  10. Example:

  11. Translations are a composite of Reflections • One reflection over another with respect to two parallel lines. l m

  12. Fixed point rotation • A transformation that turns a figure about a fixed point. Example:

  13. Another Example:

  14. l m Rotations are a composite of Reflections • One reflection over another with respect to two intersecting lines. *Not drawn to scale!

  15. Center of rotation • The measure of the angle of rotation is twice the measure of the angle formed by the intersecting lines • Turn around Point

  16. dilation • Alters the size of a geometric figure, but does not change its shape.

  17. isometry • Congruence Transformation • Maps every segment to a congruent segment • No change in size! • Congruent sides and congruent angles

  18. State whether each of the following have isometry. • Translation • Reflection • Rotation • Dilation Yes Yes Yes No

More Related