1 / 6

Geometric Transformations

Geometric Transformations. Dilations & Reductions. Definitions. Dilation: transformation that produces an image that is the same shape as the original, but a different size Enlargement: image bigger than the preimage Reduction: image smaller than the preimage

masao
Download Presentation

Geometric 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. Geometric Transformations Dilations & Reductions

  2. Definitions • Dilation: transformation that produces an image that is the same shape as the original, but a different size • Enlargement: image bigger than the preimage • Reduction: image smaller than the preimage • Scale factor: how much the preimage changes • Center of dilation: self explanatory—the center of the preimage/image

  3. Example Draw the dilation of ∆ABC with vertices A(-1,-1), B(0,2), C(1,-2), with the center of dilation at the origin and a scale factor of 3.

  4. Example Draw the dilation of ∆EFG with vertices E(0,0), F(0,6), G(8,0), center of dilation at E, and scale factor of ½ .

  5. Example Draw ABCD: A(1,1), B(5,1), C(1,5), D(5,5) Dilate by a scale factor of ½. Translate 3 up, 4 left. Reflect over the y-axis.

  6. Example Draw JKLM: J(2,-2), K(1,1), L(-2,-3), M(0,-5) Reflect over the y-axis. Rotate 180 degrees around the origin.

More Related