CK12 - Geometry

The centerof dilationis , and the scalefactoris.

Point is unitsfrom. To find the imageof point , we go unitsfrom along

to locate , the imageof. Point is threetimesas far ( units)from as is ( units),and

, , and are collinear.

Note:The scalefactoris. The lengthfrom to is“stretched”threetimesas long as the lengthfrom

to.

Example 2

The centerof dilationis , and the scalefactoris.

Point is unitsfrom , as in example1. To find the imageof point , we go unitsfrom

along to locate , the imageof. Point is timesas far ( units)from as is (

units),and , , and are collinear.

Note:The scalefactoris. The lengthfrom to “shrinks”to timesas long as the lengthfrom to

.

Example 3