- A dilationhas its centerat the originand a scalefactorof. Let be the point. If is the imageof
, and is the imageof , whatare the coordinatesof?Answers
11.
Smallsquarecenteredin big square,eachside of big square timesside of smallsquare
12.
The imageof any pointis the pointthat is the centerof dilation.
Let be the origin.
slopeof
slopeof
slopeof ,
Sincethe segmentshavecommonendpointsand the sameslope,they are collinear.
15.
Self-Similarity(Fractals)
LearningObjectives
- Appreciatethe conceptof self-similarity.