1 / 10

Analyzing Transformations: Stretching and Shrinking Shapes in Geometry

This investigation focuses on analyzing the transformations of geometric figures, specifically how original shapes can be stretched, shrunk, turned, moved, or flipped. Students will explore Figures 1 through 5 to identify the changes from the original shape, utilizing vocabulary terms such as rotate, translate, reflect, enlarge, reduce, and similar. Additionally, they will assess the impact of these transformations on perimeter and area, while learning about corresponding sides and angles. The aim is to deepen understanding of geometric transformations and their properties.

feo
Télécharger la présentation

Analyzing Transformations: Stretching and Shrinking Shapes in Geometry

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. Investigation 1 Stretching & Shrinking K. Williams Rm 203

  2. POD 10/14/10 • Figure 1 is the original shape. Analyze how Figure 1 was changed to Figures 2, 3, & 4 Fig. #3 Fig. #1 Fig. #4 Fig. #2

  3. Notes: Vocabulary Terms • Image—it is what the original looks like after being transformed: • turned (rotate), • moved over (translate), • flipped (reflect), • bigger (enlarge), • smaller (reduce) or • the same (similar) • Stretch/Enlarge/Enlargement—bigger than the original (more than 100%) • Shrink/Reduce/Reduction—to make smaller than the original (less than 100%)

  4. Practice • How are Figures 2, 3, 4, & 5 different from Figure 1? Utilize the terms: • turned (rotate), • moved over (translate), • flipped (reflect), • bigger (enlarge), • smaller (reduce) or • the same (similar) Fig. #1 Fig. #2 Fig. #3 Fig. #5 Fig. #4

  5. 20 18 14 12 10 8 6 4 2 (0,0) 4 6 8 10 12 14 16 2

  6. Draw what the shape would look like if it is doubled in size. Then draw what it would look like it is was half the size. POD 10/15/10

  7. Answer the following questions • How was the perimeter affected? • How was the area changed? • Is there a rule that could be used to express the changes?

  8. Notes: Vocabulary Terms • Corresponding sides- the matching sides of two different shapes that look alike but may not be the same size. • Ex. Side AB = Side PQ • Corresponding angles-the matching angles of two different shapes that look alike but may not be the same size. • Ex. Angle B = Angle Q • Does not change if the objects are similar. A C B P Q R

  9. Write About… • Compare and Contrast the following two figures P A B C Q R

  10. 20 18 14 12 10 8 6 4 2 (0,0) 4 6 8 10 12 14 16 2

More Related