9.7 Morris the Cat Expands!

Student's page

  1. Open File in Geometer's Sketchpad: http://www.ciese.org/ciesemath.Morris.gsp

  1. You should see this:

morris.jpeg

  1. Identify all the points that make up each part of Morris’s face. Some of them are done for you. Fill the unshaded cells below.

Head (10)

Mouth (4)

Nose (4)

Eyes (2)

(5,0)

(1,3)

(3,3)

(5,6)

(7,2)

      

(7,7)

      

(6,10)

      
       
       
       
       
       
       
       

  1. Expand Morris’s face by a factor of 2. The steps are:

  1. Double Click on (0,0)

  1. morris2.jpeg

  1. Highlight all of the cat’s face.

  1. morris4.jpeg

  1. Go to the transform menu and choose DILATE you should see this

  1. dilate.jpeg

  1. You should now see this:

  1. morris5.jpeg

  2.  

  1. What are the new locations for the expanded face? Fill in chart below.


  1. How would you describe what happened?

5. Describe what happened here (below) in terms of the coordinates of the points.

morris3times4p6.jpeg
Fill in this chart:


6. What happens to the size of morris when you double its coordinates?



7. What happens to the size of morris when you triple its coordinates?



8. Bonus Question: How do the areas of Morris compare when you double the coordinates? (Why is it more than double the size?)