CK12 - Geometry

A translationmatrixfor pointswouldhave rowsand columnsin whichthe rowsare all the same.

And, of course,thereseemto be manymorethan threedimensions!

LessonExercises

1. A dilationhas a scalefactorof. How doesthe imageof a polygoncompareto the originalpolygonin
   this dilation?


2. The matrix representsthe pricesMarci’s companychargesfor deliveriesin

four zones.Explainwhatthe scalarproduct couldrepresent.

The matricesfor threetrianglesare:

3. Describehow the trianglesrepresentedby and are relatedto eachother.


4. Describehow the trianglesrepresentedby and are relatedto eachother.


5. Write the product in matrixform.


6. Describehow the trianglerepresentedby the product is relatedto the trianglerepresented

by

7. In example4 above,the circleis first dilatedand then translated.Describehow to achievethe sameresult
   with a translationfirst and then a dilation.


8. Describea dilation-translationthat will movepolygon to polygon