CoordinateNotationfor Dilations
We can workwith dilationson a coordinategrid. To simplifyour work,we’ll studydilationsthat havetheir
centerof dilationat the origin.
Triangle in the diagrambelowis dilatedwith scalefactor.
Triangle is the imageof.
Noticethat eachside of is timesas long as the correspondingside of. Noticealso
that , , and the originare collinear. Thusis also true of , , and the origin,and of , ,
and the origin.
This leadsto the followinggeneralization