CK12 - Geometry

Sincethe threeratiosare equal,you can concludethat the figuresare similar.

Example 2

ConeA has height

and radius

. ConeB has height

and radius

. Are the two conessimilar?

If the figuresare similarall ratiosfor correspondingmeasuresmustbe the same.

The ratiosare:

Sincethe ratiosare different,the two figuresare not similar.

CompareSurfaceAreasand Volumesof SimilarFigures

Whenyou comparesimilartwo-dimensionalfigures,area changesas a functionof the squareof the ratio
of

For example,take a look at the areasof thesetwo similarfigures.

The ratio betweencorrespondingsidesis: