The imageof point in a dilationcenteredat the origin,with a scalefactor , is the point.
This is exactlythe tool we needin orderto use matricesfor dilations.
Example 3
The followingrectangleis dilatedwith a scalefactorof.a) Whatis the polygonmatrixfor the rectangle?b) Writea scalarproductfor the dilation.c) Whatare the coordinatesof the verticesof the imagerectangle?d) Whatis the perimeterof the image?Perimeterof the originalrectangleis.Perimeterof the imageis.e) Whatis the area of the image?Areaof the originalrectangleis.