Shape 

Copyright David & Cynthia Thomas, 2009

 

Transformation Geometry--Directed Activity: Translation

  

The directed activities in this sectionprovide a context in which to investigate how transformations are represented and computed in coordinate geometry relative to …

·        Translations

·        Reflections

                                                                                

Focus

Translation using coordinate geometry

Technologies

5 mm grid paper, The Geometers Sketchpad and the model 5_Translations.gsp

Background

Figure 5.22 shows ΔABC and three slides arrows corresponding to three translations, m, n, and o.

Figure 5.22: Translations

Tasks

·        Using coordinate geometry and 5 mm grid paper, find the image of ΔABC (i.e., give the coordinates of the vertices) under translation.

  • m
  • n
  • o
  • The composition of all three translations

§         First m, then n, then o

§         First n, then m, then o

§         First o, then m, then n

  • How does varying the order of translations affect the final result?

·        Check your findings using The Geometers Sketchpad, an the model 5_Translations.gsp