2. You may already have a notion of what a convex region is, but here's a mathematical definition. Definition 3.2 A region R is convex if the line segment connecting any two points in R lies in R. A polygo convex if it and its interior form a convex region. A consequence of this definition is that all the diagonals of a convex polygon lie inside the polygon. U induction to prove that a convex n-gon has n(n - 3)/2 diagonals. (Hint: Think of an n-gon as having (n-1)-gon inside of it.)

2. You may already have a notion of what a convex region is, but here's a mathematical definition. Definition 3.2 A region R is convex if the line segment connecting any two points in R lies in R. A polygo convex if it and its interior form a convex region. A consequence of this definition is that all the diagonals of a convex polygon lie inside the polygon. U induction to prove that a convex n-gon has n(n - 3)/2 diagonals. (Hint: Think of an n-gon as having (n-1)-gon inside of it.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...

See similar textbooks