1 / 7

Day 51

Day 51. Similarity Transformations and Scale Models. Today’s Agenda. Similarity Transformations Dilations: Enlargements & Reductions Scale Models. Review of Transformations.

mrinal
Download Presentation

Day 51

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. Day 51 Similarity Transformations and Scale Models

  2. Today’s Agenda • Similarity Transformations • Dilations: Enlargements & Reductions • Scale Models

  3. Review of Transformations • Recall from Chapter 4 that a transformation is an operation that maps an original figure (the preimage) onto a new figure (the image). • We discussed congruence transformations – reflections, translations, and rotations.

  4. Similarity Transformations • A similarity transformation produces a figure that is similar to the original. • A dilation is a similarity transformation that enlarges or reduces a figure proportionally. • Dilations are performed with respect to a fixed point called the center of dilation. • The scale factor of a dilation is the ratio of a length on the image to the corresponding length on the preimage. This describes the extent of the dilation. • A dilation with a scale factor greater than 1 is an enlargement. • If the scale factor is between zero and one, the dilation is a reduction.

  5. Verifying Dilations • You can verify that a dilation has occurred by checking for symmetry: • For triangles, use AA, SSS, or SAS symmetry theorems. • For other polygons, compare corresponding sides and angles.

  6. Scale Models • A scale model or scale drawing is an object or drawing with lengths proportional to the length of the object it represents. • The scale of a model or drawing is the ratio of the length on the model to the length of the object being modeled. • Read Lesson 7.7 (start on page 512) and answer the “Check Your Understanding” Problems (p. 514).

  7. Homework 29 • Workbook, p. 94, 95CYU, p. 514

More Related