A convexpolygondoesnot sharethis property. Any time you connectthe verticesof a convexpolygon,the
segmentsbetweennonadjacentverticeswill travelthroughthe interiorof the shape.Linessegmentsthat
connectto verticestravelingonly on the interiorof the shapeare calleddiagonals.
Example 3
Identifywhetherthe shapesbeloware convexor concave.To solvethis problem,connectthe verticesto see if the segmentspassthroughthe interioror exteriorof
the shape.
A. The segmentsgo throughthe interior.Therefore,the polygonis convex.B. The segmentsgo throughthe exterior.